Prof. Dr. Jörg Brüdern

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  • 2022 | Journal Article
    ​ ​A paucity problem for certain triples of diagonal equations​
    Brüdern, J.   & Wooley, T. D.​ (2022) 
    Bulletin of the London Mathematical Society, art. blms.12636​.​ DOI: https://doi.org/10.1112/blms.12636 
    ​Details  DOI 
  • 2022 | Journal Article
    ​ ​On smooth Weyl sums over biquadrates and Waring’s problem​
    Wooley, T. D. & Brüdern, J. ​ (2022) 
    Acta Arithmetica, 204(1) pp. 19​-40​.​ DOI: https://doi.org/10.4064/aa210910-6-4 
    ​Details  DOI 
  • 2022 | Journal Article | 
    ​ ​Sums of two unlike powers in arithmetic progressions​
    Brüdern, J.   & Vaughan, R. C.​ (2022) 
    European Journal of Mathematics, 8(S1) pp. 182​-213​.​ DOI: https://doi.org/10.1007/s40879-022-00560-6 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Even ascending powers​
    Brüdern, J. ​ (2019) 
    Banach Center Publications, 118 pp. 193​-229​.​ DOI: https://doi.org/10.4064/bc118-13 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Explicit formulae for averages of Goldbach representations​
    Brüdern, J. ; Kaczorowski, J. & Perelli, A.​ (2019) 
    Transactions of the American Mathematical Society, 372(10) pp. 6981​-6999​.​ DOI: https://doi.org/10.1090/tran/7799 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​On Artin’s conjecture: Linear slices of diagonal hypersurfaces​
    Robert, O. & Brüdern, J. ​ (2019) 
    Transactions of the American Mathematical Society, 372(3) pp. 1867​-1911​.​ DOI: https://doi.org/10.1090/tran/7635 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations​
    Brüdern, J.   & Wooley, T.​ (2018) 
    Journal of the European Mathematical Society, 20(10) pp. 2333​-2356​.​ DOI: https://doi.org/10.4171/JEMS/813 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Approximations to Weyl sums​
    Brüdern, J. ​ (2018) 
    Acta Arithmetica, 184(3) pp. 287​-296​.​ DOI: https://doi.org/10.4064/aa170927-10-7 
    ​Details  DOI 
  • 2017 | Book Chapter
    ​ ​Local Oscillations in Moderately Dense Sequences of Primes​
    Brüdern, J.  & Elsholtz, C.​ (2017)
    In:​Elsholtz, Christian; Grabner, Peter​ (Eds.), Number Theory – Diophantine Problems, Uniform Distribution and Applications. Festschrift in Honour of Robert F. Tichy’s 60th Birthday pp. 193​-210. ​Cham: ​Springer. DOI: https://doi.org/10.1007/978-3-319-55357-3_8 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​The Manin–Peyre formula for a certain biprojective threefold​
    Blomer, V. ; Brüdern, J.   & Salberger, P.​ (2017) 
    Mathematische Annalen, 370(1-2) pp. 491​-553​.​ DOI: https://doi.org/10.1007/s00208-017-1621-4 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD​
    Blomer, V.   & Brüdern, J. ​ (2017) 
    Mathematika, 63(3) pp. 780​-796​.​ DOI: https://doi.org/10.1112/S0025579317000183 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Random congruences​
    Brüdern, J.   & Dietmann, R.​ (2016) 
    Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae. New Series, 27(2) pp. 480​-487​.​ DOI: https://doi.org/10.1016/j.indag.2015.10.001 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​The Hasse principle for systems of diagonal cubic forms​
    Brüdern, J.   & Wooley, T. D.​ (2016) 
    Mathematische Annalen, 364(3-4) pp. 1255​-1274​.​ DOI: https://doi.org/10.1007/s00208-015-1249-1 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Additive representation in short intervals, II: sums of two like powers​
    Brüdern, J.   & Wooley, T. D.​ (2016) 
    Mathematische Zeitschrift, 286(1-2) pp. 179​-196​.​ DOI: https://doi.org/10.1007/s00209-016-1759-x 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Counting in hyperbolic spikes: The diophantine analysis of multihomogeneous diagonal equations​
    Blomer, V.   & Bruedern, J. ​ (2015) 
    Journal für die reine und angewandte Mathematik (Crelles Journal),.​ DOI: https://doi.org/10.1515/crelle-2015-0037 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Cubic moments of Fourier coefficients and pairs of diagonal quartic forms​
    Brüdern, J.   & Wooley, T. D.​ (2015) 
    Journal of the European Mathematical Society (JEMS), 17(11) pp. 2887​-2901​.​ DOI: https://doi.org/10.4171/JEMS/574 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Rational points on linear slices of diagonal hypersurfaces​
    Brüdern, J.   & Robert, O.​ (2015) 
    Nagoya Mathematical Journal, 218 pp. 51​-100​.​ DOI: https://doi.org/10.1215/00277630-2891245 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​On the asymptotic formula in Waring`s problem: one square and three fifth powers​
    Brüdern, J. ​ (2015) 
    Glasgow Mathematical Journal, 57(3) pp. 681​-692​.​ DOI: https://doi.org/10.1017/S0017089514000561 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​On a certain senary cubic form​
    Blomer, V. ; Brüdern, J.   & Salberger, P.​ (2014) 
    Proceedings of the London Mathematical Society. Third Series, 108(4) pp. 911​-964​.​ DOI: https://doi.org/10.1112/plms/pdt043 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Subconvexity for additive equations: pairs of undenary cubic forms​
    Brüdern, J.   & Wooley, T. D.​ (2014) 
    Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 696 pp. 31​-67​.​ DOI: https://doi.org/10.1515/crelle-2012-0115 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Sums of squares coprime in pairs​
    Brüdern, J. ​ (2014) 
    Bulletin of the Polish Academy of Sciences. Mathematics, 62(3) pp. 215​-231​.​ DOI: https://doi.org/10.4064/ba62-3-3 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Random Diophantine equations, I​
    Brüdern, J.   & Dietmann, R.​ (2014) 
    Advances in Mathematics, 256 pp. 18​-45​.​ DOI: https://doi.org/10.1016/j.aim.2014.01.017 
    ​Details  DOI 
  • 2013 | Anthology
    ​ ​Analytic Number Theory​ ​(Vol. 10) 
    Brüdern, J. ; Montgomery, H. L.; Vaughan, R. C.& Wooley, T. D.​ (Eds.) (2013)
    European Mathematical Society. DOI: https://doi.org/10.4171/OWR/2013/51 
    ​Details  DOI 
  • 2013 | Book Chapter
    ​ ​Additive representation in thin sequences, VIII: Diophantine inequalities in review​
    Brüdern, J. ; Kawada, K.& Wooley, T. D.​ (2013)
    In:​Kanemitsu , Shigeru; Li, Hongze; Liu , Jianya​ (Eds.), Number theory—arithmetic in Shangri-La pp. 17​-76. (Vol. 8). ​World Sci. Publ., Hackensack, NJ. DOI: https://doi.org/10.1142/9789814452458\\\\.0002 
    ​Details  DOI 
  • 2013 | Book Chapter
    ​ ​Annexe to the gallery: an addendum to “Additive representation in thin sequences, VIII: Diophantine inequalities in review”​
    Brüdern, J. ; Kawada, K.& Wooley, T. D.​ (2013)
    In:​Kanemitsu , Shigeru; Li, H.-Z.; Liu, J.-Y.​ (Eds.), Number theory—arithmetic in Shangri-La pp. 77​-82. (Vol. 8). ​World Sci. Publ., Hackensack, NJ. DOI: https://doi.org/10.1142/9789814452458\\\\.0003 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Piatetski-Shapiro sequences​
    Baker, R. C.; Banks, W. D.; Brüdern, J. ; Shparlinski, I. E. & Weingartner, A. J.​ (2013) 
    Acta Arithmetica, 157(1) pp. 37​-68​.​ DOI: https://doi.org/10.4064/aa157-1-3 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​On Waring's problem for two cubes and two small cubes​
    Brüdern, J. ​ (2012) 
    Acta Arithmetica, 155(3) pp. 271​-285​.​ DOI: https://doi.org/10.4064/aa155-3-4 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Random Diophantine inequalities of additive type​
    Brüdern, J.   & Dietmann, R.​ (2012) 
    Advances in Mathematics, 229(6) pp. 3079​-3095​.​ DOI: https://doi.org/10.1016/j.aim.2012.02.004 
    ​Details  DOI 
  • 2012 | Book Chapter
    ​ ​Daniel's twists of Hooley's delta function​
    Brüdern, J. ​ (2012)
    In:​Blomer, Valentin; Mihăilescu, Preda​ (Eds.), Contributions in analytic and algebraic number theory: Festschrift for S. J. Patterson pp. 31​-82. ​New York, NY: ​Springer. DOI: https://doi.org/10.1007/978-1-4614-1219-9_3 
    ​Details  DOI 
  • 2012 | Book Chapter
    ​ ​The density of rational points on a certain threefold​
    Blomer, V.  & Brüdern, J. ​ (2012)
    In:​Blomer, Valentin; Mihailescu, Preda​ (Eds.), Contributions in analytic and algebraic number theory pp. 1​-15. ​New York, NY: ​Springer.
    ​Details 
  • 2012 | Journal Article | 
    ​ ​A paucity estimate related to Newton sums of odd degree​
    Brüdern, J.   & Robert, O.​ (2012) 
    Mathematika. A Journal of Pure and Applied Mathematics, 58(2) pp. 225​-235​.​ DOI: https://doi.org/10.1112/S0025579312000058 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​Asymptotic Formulae for Pairs of Diagonal Cubic Equations​
    Brüdern, J.   & Wooley, T. D.​ (2011) 
    Canadian Journal of Mathematics. Journal Canadien de Mathématiques, 63(1) pp. 38​-54​.​ DOI: https://doi.org/10.4153/CJM-2010-067-3 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​The asymptotic formula in Waring's problem for one square and seventeen fifth powers​
    Brüdern, J.   & Kawada, K.​ (2011) 
    Monatshefte für Mathematik, 162(4) pp. 385​-407​.​ DOI: https://doi.org/10.1007/s00605-009-0171-6 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​The localisation of primes in arithmetic progressions of irrational modulus​
    Brüdern, J.   & Kawada, K.​ (2011) 
    Colloquium Mathematicum, 123(1) pp. 53​-61​.​ DOI: https://doi.org/10.4064/cm123-1-5 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​Sparse variance for primes in arithmetic progression​
    Brüdern, J.   & Wooley, T. D.​ (2011) 
    The Quarterly Journal of Mathematics, 62(2) pp. 289​-305​.​ DOI: https://doi.org/10.1093/qmath/hap029 
    ​Details  DOI 
  • 2011 | Journal Article | 
    ​ ​On the gaps between values of binary quadratic forms​
    Brüdern, J.   & Dietmann, R.​ (2011) 
    Proceedings of the Edinburgh Mathematical Society. Series II, 54(1) pp. 25​-32​.​ DOI: https://doi.org/10.1017/S0013091509000285 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​A Birch-Goldbach theorem​
    Brüdern, J. ; Dietmann, R.; Liu, J. Y. & Wooley, T. D.​ (2010) 
    Archiv der Mathematik, 94(1) pp. 53​-58​.​ DOI: https://doi.org/10.1007/s00013-009-0086-4 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​The number of integer points on Vinogradov's quadric​
    Blomer, V.   & Brüdern, J. ​ (2010) 
    Monatshefte für Mathematik, 160(3) pp. 243​-256​.​ DOI: https://doi.org/10.1007/s00605-008-0085-8 
    ​Details  DOI 
  • 2010 | Book Chapter
    ​ ​Additive representation in thin sequences, VIII: Diophantine inequalities in review​
    Brüdern, J. ; Kawada, K.& Wooley, T. D.​ (2010)
    In:​Aoki, T.; Kanemitsu , Shigeru; Liu, J. Y.​ (Eds.), Number Theory and Its Applications pp. 20​-79. (Vol. 6). ​World Sci. Publ., Hackensack, NJ. DOI: https://doi.org/10.1142/9789814289924\\\\.0002 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​The asymptotic formulae in Waring's problem for cubes​
    Brüdern, J.   & Wooley, T. D.​ (2010) 
    Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 647(674) pp. 1​-23​.​ DOI: https://doi.org/10.1515/CRELLE.2010.071 
    ​Details  DOI 
  • 2010 | Journal Article
    ​ ​On Waring's problem: three cubes and a minicube​
    Brüdern, J.   & Wooley, T. D.​ (2010) 
    Nagoya Mathematical Journal, 200 pp. 59​-91​.​
    ​Details 
  • 2010 | Journal Article
    ​ ​Iterates of Vinogradov's quadric and prime paucity​
    Blomer, V.   & Bruedern, J. ​ (2010) 
    The Michigan Mathematical Journal, 59(1) pp. 231​-240​.​ DOI: https://doi.org/10.1307/mmj/1272376035 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​Sums of smooth squares​
    Blomer, V. ; Brüdern, J.   & Dietmann, R.​ (2009) 
    Compositio Mathematica, 145(6) pp. 1401​-1441​.​ DOI: https://doi.org/10.1112/s0010437x09004254 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​On the Waring-Goldbach Problem for Cubes​
    Brüdern, J.   & Kawada, K.​ (2009) 
    Glasgow Mathematical Journal, 51(3) pp. 703​-712​.​ DOI: https://doi.org/10.1017/S0017089509990140 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​A quadric with arithmetic paucity​
    Blomer, V.   & Brüdern, J. ​ (2009) 
    The Quarterly Journal of Mathematics, 60(3) pp. 283​-290​.​ DOI: https://doi.org/10.1093/qmath/han017 
    ​Details  DOI 
  • 2009 | Book Chapter
    ​ ​Binary additive problems and the circle method, multiplicative sequences and convergent sieves​
    Brüdern, J. ​ (2009)
    In:​Chen, W. W. L.; Gowers , W. T.; Halberstam, H.; Schmidt, W. M.; Vaughan, Robert C.​ (Eds.), Analytic number theory pp. 91​-132. ​Cambridge Univ. Press, Cambridge.
    ​Details 
  • 2009 | Journal Article
    ​ ​Imperfect mimesis of Weyl sums​
    Brüdern, J.   & Daemen, D.​ (2009) 
    International Mathematics Research Notices. IMRN,(16) pp. 3112​-3126​.​ DOI: https://doi.org/10.1093/imrn/rnp044 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Analytic number theory​
    Bruedern, J. ; Montgomery, H. L. & Vaughan, R. C.​ (2008) 
    Oberwolfach Reports, 5(1) pp. 669​-745​.​ DOI: https://doi.org/10.4171/OWR/2008/14 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Representations of natural numbers as the sum of a prime and A k-TH power​
    Brüdern, J. ​ (2008) 
    Tsukuba Journal of Mathematics, 32(2) pp. 349​-360​.​
    ​Details 
  • 2008 | Journal Article
    ​ ​Counting Diophantine approximations​
    Brüdern, J. ​ (2008) 
    Uniwersytet im. Adama Mickiewicza w Poznaniu. Wydział.extbackslash Matematyki i Informatyki. Functiones et Approximatio Commentarii Mathematici, 39(part 2) pp. 237​-260​.​ DOI: https://doi.org/10.7169/facm/1229696574 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Additive representation in thin sequences. VII. Restricted moments of the number of representations​
    Brüdern, J. ; Kawada, K. & Wooley, T. D.​ (2008) 
    Tsukuba Journal of Mathematics, 32(2) pp. 383​-406​.​
    ​Details 
  • 2008 | Journal Article
    ​ ​Prime paucity for sums of two squares​
    Blomer, V.   & Bruedern, J. ​ (2008) 
    Bulletin of the London Mathematical Society, 40(3) pp. 457​-462​.​ DOI: https://doi.org/10.1112/blms/bdn026 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​The Hasse principle for pairs of diagonal cubic forms​
    Brüdern, J.   & Wooley, T. D.​ (2007) 
    Annals of Mathematics, 166(3) pp. 865​-895​.​ DOI: https://doi.org/10.4007/annals.2007.166.865 
    ​Details  DOI 
  • 2007 | Book Chapter
    ​ ​The density of integral solutions for pairs of diagonal cubic equations​
    Brüdern, J.  & Wooley, T. D.​ (2007)
    In:​Chen, W. W. L.; Gowers , W. T.; Halberstam, H.; Schmidt, W. M.; Vaughan, Robert C.​ (Eds.), Analytic number theory pp. 57​-76. (Vol. 7). ​Amer. Math. Soc., Providence, RI.
    ​Details 
  • 2005 | Journal Article
    ​ ​A three squares theorem with almost primes​
    Blomer, V.   & Brüdern, J. ​ (2005) 
    Bulletin of the London Mathematical Society, 37(4) pp. 507​-513​.​ DOI: https://doi.org/10.1112/S0024609305004480 
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​Asymptotic formulae for pairs of diagonal equations​
    Brüdern, J.   & Wooley, T. D.​ (2004) 
    Mathematical Proceedings of the Cambridge Philosophical Society, 137(1) pp. 227​-235​.​ DOI: https://doi.org/10.1017/S0305004103007400 
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​Additive representation in short intervals, I: Waring’s problem for cubes​
    Brüdern, J.   & Wooley, T. D.​ (2004) 
    Compositio Mathematica, 140(5) pp. 1197​-1220​.​ DOI: https://doi.org/10.1112/S0010437X04001058 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Additive representation in thin sequences, V: Mixed problems of Waring's type​
    Brüdern, J. ; Kawada, K. & Wooley, T. D.​ (2003) 
    Mathematica Scandinavica, 92(2) pp. 181​-209​.​ DOI: https://doi.org/10.7146/math.scand.a-14400 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​The paucity problem for certain pairs of diagonal equations​
    Brüdern, J.   & Wooley, T. D.​ (2003) 
    The Quarterly Journal of Mathematics, 54(1) pp. 41​-48​.​ DOI: https://doi.org/10.1093/qjmath/54.1.41 
    ​Details  DOI 
  • 2002 | Book Chapter
    ​ ​Ternary problems in additive prime number theory​
    Brüdern, J.  & Kawada, K.​ (2002)
    In:​Jia, Chaohua; Matsumoto, Kohji​ (Eds.), Analytic number theory (Beijing/Kyoto, 1999) pp. 39​-91. (Vol. 6). ​Kluwer Acad. Publ., Dordrecht. DOI: https://doi.org/10.1007/978-1-4757-3621-2\\\\.4 
    ​Details  DOI 
  • 2002 | Journal Article
    ​ ​On Artin's conjecture. II. Pairs of additive forms​
    Brüdern, J.   & Godinho, H.​ (2002) 
    Proceedings of the London Mathematical Society. Third Series, 84(3) pp. 513​-538​.​
    ​Details 
  • 2002 | Journal Article
    ​ ​Hua's lemma and simultaneous diagonal equations​
    Brüdern, J.   & Wooley, T. D.​ (2002) 
    The Bulletin of the London Mathematical Society, 34(3) pp. 279​-283​.​ DOI: https://doi.org/10.1112/S002460930100889X 
    ​Details  DOI 
  • 2002 | Journal Article
    ​ ​Additive representation in thin sequences, VI: representing primes, and related problems​
    Brüdern, J. ; Kawada, K. & Wooley, T. D.​ (2002) 
    Glasgow Mathematical Journal, 44(3) pp. 419​-434​.​ DOI: https://doi.org/10.1017/S0017089502030070 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​Exponential sums over products and their $ L_1 hBHnorm​
    Brüdern, J. ​ (2001) 
    Archiv der Mathematik, 76(3) pp. 196​-201​.​ DOI: https://doi.org/10.1007/s000130050560 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​A note on the distribution of sumsets​
    Brüdern, J.   & Perelli, A.​ (2001) 
    Uniwersytet im. Adama Mickiewicza w Poznaniu. Wydział.extbackslash Matematyki i Informatyki. Functiones et Approximatio Commentarii Mathematici, 29 pp. 81​-88​.​
    ​Details 
  • 2001 | Journal Article
    ​ ​On Waring's problem: three cubes and a sixth power​
    Brüdern, J.   & Wooley, T. D.​ (2001) 
    Nagoya Mathematical Journal, 163 pp. 13​-53​.​
    ​Details 
  • 2001 | Journal Article
    ​ ​Diophantine approximation by cubes of primes and an almost prime. II​
    Brüdern, J.   & Kumchev, A.​ (2001) 
    Illinois Journal of Mathematics, 45(1) pp. 309​-321​.​
    ​Details 
  • 2001 | Journal Article
    ​ ​Additive Representation in Thin Sequences, IV: Lower Bound Methods​
    Brüdern, J. ; Kawada, K. & Wooley, T. D.​ (2001) 
    The Quarterly Journal of Mathematics, 52(4) pp. 423​-436​.​ DOI: https://doi.org/10.1093/qjmath/52.4.423 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​Additive representation in thin sequences, III: asymptotic formulae​
    Brüdern, J. ; Kawada, K. & Wooley, T. D.​ (2001) 
    Acta Arithmetica, 100(3) pp. 267​-289​.​ DOI: https://doi.org/10.4064/aa100-3-3 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​Additive representation in thin sequences, I: Waring's problem for cubes​
    Brüdern, J. ; Kawada, K. & Wooley, T. D.​ (2001) 
    Annales Scientifiques de l'École Normale Supérieure, 34(4) pp. 471​-501​.​ DOI: https://doi.org/10.1016/S0012-9593(01)01067-9 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​Cubic diophantine inequalities III​
    Brüdern, J. ​ (2001) 
    Periodica Mathematica Hungarica, 42(1-2) pp. 211​-226​.​ DOI: https://doi.org/10.1023/A:1015269212362 
    ​Details  DOI 
  • 2001 | Journal Article
    ​ ​On Waring's Problem for Cubes and Smooth Weyl Sums​
    Brüdern, J.   & Wooley, T. D.​ (2001) 
    Proceedings of the London Mathematical Society, 82(1) pp. 89​-109​.​ DOI: https://doi.org/10.1112/S0024611500012624 
    ​Details  DOI 
  • 2000 | Journal Article
    ​ ​Some additive problems of Goldbach's type​
    Brüdern, J. ​ (2000) 
    Uniwersytet im. Adama Mickiewicza w Poznaniu. Wydział.extbackslash Matematyki i Informatyki. Functiones et Approximatio Commentarii Mathematici, 28 pp. 45​-73​.​
    ​Details 
  • 2000 | Journal Article
    ​ ​Additive representation in thin sequences, II: The binary Goldbach problem​
    Brüdern, J. ; Kawada, K. & Wooley, T. D.​ (2000) 
    Mathematika, 47(1-2) pp. 117​-125​.​ DOI: https://doi.org/10.1112/S002557930001576X 
    ​Details  DOI 
  • 2000 | Journal Article
    ​ ​Twins of k-Free Numbers and Their Exponential Sum​
    Brüdern, J. ; Perelli, A. & Wooley, T. D.​ (2000) 
    Michigan Mathematical Journal, 47(1) pp. 173​-190​.​ DOI: https://doi.org/10.1307/mmj/1030374676 
    ​Details  DOI 
  • 2000 | Book Chapter
    ​ ​Small values of diagonal cubic forms​
    Brüdern, J. ​ (2000)
    In:​Halter-Koch, F.; Tichy, Robert F​ (Eds.), Algebraic number theory and Diophantine analysis (Graz, 1998) pp. 27​-45. ​de Gruyter, Berlin.
    ​Details 
  • 2000 | Journal Article
    ​ ​On Waring's problem: two cubes and seven biquadrates​
    Brüdern, J.   & Wooley, T. D.​ (2000) 
    Tsukuba Journal of Mathematics, 24(2) pp. 387​-417​.​
    ​Details 
  • 2000 | Book Chapter
    ​ ​Binary additive problems, multiplicative sequences, and the Bateman-Horn conjecture​
    Brüdern, J. ​ (2000)
    In: Kokyuroku pp. 126​-131. 
    ​Details 
  • 1999 | Book Chapter
    ​ ​The Davenport-Heilbronn Fourier transform method, and some Diophantine inequalities​
    Brüdern, J. ​ (1999)
    In:​Kanemitsu , Shigeru; Hongze, Li; Liu, Jianya​ (Eds.), Number theory and its applications (Kyoto, 1997) pp. 59​-87. (Vol. 2). ​Kluwer Acad. Publ., Dordrecht.
    ​Details 
  • 1999 | Journal Article
    ​ ​On Waring's problem: a square, four cubes and a biquadrate​
    Brüdern, J.   & Wooley, T. D.​ (1999) 
    Mathematical Proceedings of the Cambridge Philosophical Society, 127(2) pp. 193​-200​.​ DOI: https://doi.org/10.1017/S0305004199003679 
    ​Details  DOI 
  • 1999 | Journal Article
    ​ ​On Artin's Conjecture, I: Systems of Diagonal Forms​
    Brüdern, J.   & Godinho, H.​ (1999) 
    The Bulletin of the London Mathematical Society, 31(3) pp. 305​-313​.​ DOI: https://doi.org/10.1112/S0024609398005578 
    ​Details  DOI 
  • 1999 | Journal Article
    ​ ​Exponential sums of additive problems involving square-free numbers​
    Brüdern, J.   & Perelli, A.​ (1999) 
    Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV, 28(4) pp. 591​-613​.​
    ​Details 
  • 1999 | Journal Article
    ​ ​On smooth gaps between consecutive prime numbers​
    Balog, A.; Brüdern, J.   & Wooley, T. D.​ (1999) 
    Mathematika, 46(1) pp. 57​-75​.​ DOI: https://doi.org/10.1112/S0025579300007567 
    ​Details  DOI 
  • 1998 | Journal Article
    ​ ​The addition of binary cubic forms​
    Brüdern, J.   & Wooley, T. D.​ (1998) 
    Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, 356(1738) pp. 701​-737​.​ DOI: https://doi.org/10.1098/rsta.1998.0182 
    ​Details  DOI 
  • 1998 | Journal Article
    ​ ​On the exponential sum over k–free numbers​
    Brüdern, J. ; Granville, A.; Perelli, A.; Vaughan, R. C. & Wooley, T. D.​ (1998) 
    Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, 356(1738) pp. 739​-761​.​ DOI: https://doi.org/10.1098/rsta.1998.0183 
    ​Details  DOI 
  • 1998 | Book Chapter
    ​ ​Diophantine analysis of cubic forms​
    Brüdern, J. ​ (1998)
    In: Kokyoroku pp. 52​-57. 
    ​Details 
  • 1998 | Journal Article
    ​ ​Goldbach numbers in sparse sequences​
    Brüdern, J.   & Perelli, A.​ (1998) 
    Université de Grenoble. Annales de l'Institut Fourier, 48(2) pp. 353​-378​.​
    ​Details 
  • 1997 | Book Chapter
    ​ ​Goldbach Numbers and Uniform Distribution​
    Brüdern, J.  & Perelli, A.​ (1997)
    In:​Motohashi, Y.​ (Ed.), Analytic Number Theory pp. 43​-52. ​Cambridge: ​Cambridge University Press. DOI: https://doi.org/10.1017/CBO9780511666179.006 
    ​Details  DOI 
  • 1997 | Book Chapter
    ​ ​The Values of Binary Linear Forms at Prime Arguments​
    Brüdern, J. ; Cook, R. J.& Perelli, A.​ (1997)
    In:​Greaves, G. R. H.; Harman, G.; Huxley, M. N.​ (Eds.), Sieve Methods, Exponential Sums, and their Applications in Number Theory pp. 87​-100. ​Cambridge: ​Cambridge University Press. DOI: https://doi.org/10.1017/CBO9780511526091.007 
    ​Details  DOI 
  • 1996 | Journal Article
    ​ ​Le crible à vecteurs​
    Brüdern, J.   & Fouvry, E.​ (1996) 
    Compositio Mathematica, 102(3) pp. 337​-355​.​
    ​Details 
  • 1996 | Journal Article
    ​ ​The Addition of Primes and Power​
    Brüdern, J.   & Perelli, A.​ (1996) 
    Canadian Journal of Mathematics, 48(3) pp. 512​-526​.​ DOI: https://doi.org/10.4153/CJM-1996-026-8 
    ​Details  DOI 
  • 1996 | Journal Article
    ​ ​Cubic Diophantine Inequalities, II​
    Brüdern, J. ​ (1996) 
    Journal of the London Mathematical Society, 53(1) pp. 1​-18​.​ DOI: https://doi.org/10.1112/jlms/53.1.1 
    ​Details  DOI 
  • 1995 | Journal Article
    ​ ​A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes​
    Brüdern, J. ​ (1995) 
    Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, 28(4) pp. 461​-476​.​
    ​Details 
  • 1995 | Journal Article
    ​ ​Cubic Diophantine inequalities​
    Baker, R. C.; Brüdern, J.   & Wooley, T. D.​ (1995) 
    Mathematika, 42(2) pp. 264​-277​.​ DOI: https://doi.org/10.1112/S0025579300014583 
    ​Details  DOI 
  • 1995 | Journal Article
    ​ ​Sums of three cubes in three linked three-progressions​
    Balog, A. & Brüdern, J. ​ (1995) 
    Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 466 pp. 45​-85​.​
    ​Details 
  • 1995 | Journal Article
    ​ ​A sieve approach to the Waring-Goldbach problem. II. On the seven cubes theorem​
    Brüdern, J. ​ (1995) 
    Acta Arithmetica, 72(3) pp. 211​-227​.​ DOI: https://doi.org/10.4064/aa-72-3-211-227 
    ​Details  DOI 
  • 1995 | Journal Article
    ​ ​On Waring's problem for four cubes​
    Brüdern, J.   & Watt, N.​ (1995) 
    Duke Mathematical Journal, 77(3) pp. 583​-606​.​ DOI: https://doi.org/10.1215/S0012-7094-95-07718-7 
    ​Details  DOI 
  • 1994 | Journal Article
    ​ ​On sums of two squarefull numbers​
    Baker, R. C. & Brüdern, J. ​ (1994) 
    Mathematical Proceedings of the Cambridge Philosophical Society, 116(1) pp. 1​-5​.​ DOI: https://doi.org/10.1017/S0305004100072340 
    ​Details  DOI 
  • 1994 | Journal Article
    ​ ​Small Solutions of Additive Cubic Equations​
    Brüdern, J. ​ (1994) 
    Journal of the London Mathematical Society, 50(1) pp. 25​-42​.​ DOI: https://doi.org/10.1112/jlms/50.1.25 
    ​Details  DOI 
  • 1994 | Journal Article
    ​ ​Lagrange's Four Squares Theorem with almost prime variables​
    Brüdern, J.   & Fouvry, É.​ (1994) 
    Journal für die reine und angewandte Mathematik, 454 pp. 59​-96​.​ DOI: https://doi.org/10.1515/crll.1994.454.59 
    ​Details  DOI 
  • 1993 | Journal Article
    ​ ​Three additive congruences to a large prime modulus​
    Atkinson, O. D.; Brüdern, J.   & Cook, R. J.​ (1993) 
    Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics, 55(3) pp. 355​-368​.​
    ​Details 
  • 1993 | Journal Article
    ​ ​Pairs of quadratic forms modulo one​
    Baker, R. C. & Brüdern, J. ​ (1993) 
    Glasgow Mathematical Journal, 35(1) pp. 51​-61​.​ DOI: https://doi.org/10.1017/S0017089500009551 
    ​Details  DOI 
  • 1993 | Book Chapter
    ​ ​A note on cubic exponential sums​
    Brüdern, J. ​ (1993)
    In:​David, Sinnou​ (Ed.), Séminaire de Théorie des Nombres, Paris, 1990–91 pp. 23​-34. (Vol. 108). ​Birkhäuser Boston, Boston, MA.
    ​Details 
  • 1993 | Book Chapter
    ​ ​Cubic inequalities of additive type​
    Brüdern, J.  & Cook, R. J.​ (1993)
    In:​Gouvea , Fernando Q.; Yui , Noriko​ (Eds.), Advances in number theory (Kingston, ON, 1991) pp. 399​-409. ​Oxford Univ. Press, New York.
    ​Details 
  • 1993 | Journal Article
    ​ ​Simultaneous Diophantine approximation with square-free numbers​
    Baker, R. C.; Brüdern, J.   & Harman, G.​ (1993) 
    Acta Arithmetica, 63(1) pp. 51​-60​.​
    ​Details 
  • 1992 | Journal Article
    ​ ​Simultaneous additive congruences to a large prime modulus​
    Atkinson, O. D.; Brüdern, J.   & Cook, R. J.​ (1992) 
    Mathematika, 39(1) pp. 1​-9​.​ DOI: https://doi.org/10.1112/S0025579300006781 
    ​Details  DOI 
  • 1992 | Journal Article
    ​ ​On simultaneous diagonal equations and inequalities​
    Brüdern, J.   & Cook, R. J.​ (1992) 
    Acta Arithmetica, 62(2) pp. 125​-149​.​
    ​Details 
  • 1991 | Journal Article
    ​ ​On Waring's problem for cubes​
    Brüdern, J. ​ (1991) 
    Mathematical Proceedings of the Cambridge Philosophical Society, 109(2) pp. 229​-256​.​ DOI: https://doi.org/10.1017/S0305004100069711 
    ​Details  DOI 
  • 1991 | Journal Article
    ​ ​Ternary additive problems of Waring's type​
    Brüdern, J. ​ (1991) 
    Mathematica Scandinavica, 68 pp. 27​-45​.​ DOI: https://doi.org/10.7146/math.scand.a-12343 
    ​Details  DOI 
  • 1991 | Journal Article
    ​ ​Sums of Cubes of Square-Free Numbers II​
    Baker, R. C. & Brüdern, J. ​ (1991) 
    Monatshefte für Mathematik, 112(3) pp. 177​-207​.​ DOI: https://doi.org/10.1007/BF01297338 
    ​Details  DOI 
  • 1991 | Journal Article
    ​ ​Sums of Cubes of Square-Free Numbers​
    Baker, R. C. & Brüdern, J. ​ (1991) 
    Monatshefte für Mathematik, 111(1) pp. 1​-21​.​ DOI: https://doi.org/10.1007/BF01299273 
    ​Details  DOI 
  • 1991 | Journal Article
    ​ ​Three additive cubic equations​
    Atkinson, O. D.; Brüdern, J.   & Cook, R. J.​ (1991) 
    Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica, 60(1) pp. 29​-83​.​
    ​Details 
  • 1991 | Journal Article
    ​ ​Additive Diophantine Inequalities with Mixed Powers, III​
    Brüdern, J. ​ (1991) 
    Journal of Number Theory, 37(2) pp. 199​-210​.​ DOI: https://doi.org/10.1016/S0022-314X(05)80037-X 
    ​Details  DOI 
  • 1991 | Journal Article
    ​ ​On pairs of cubic Diophantine inequalities​
    Brüdern, J.   & Cook, R. J.​ (1991) 
    Mathematika, 38(2) pp. 250​-263​.​ DOI: https://doi.org/10.1112/S0025579300006604 
    ​Details  DOI 
  • 1991 | Journal Article
    ​ ​The fractional part of αnk for square-free n​
    Baker, R. C.; Brüdern, J.   & Harman, G.​ (1991) 
    The Quarterly Journal of Mathematics. Oxford, 42(1) pp. 421​-431​.​ DOI: https://doi.org/10.1093/qmath/42.1.421 
    ​Details  DOI 
  • 1990 | Journal Article
    ​ ​On Waring's Problem for Fifth Powers and Some Related Topics​
    Brüdern, J. ​ (1990) 
    Proceedings of the London Mathematical Society, s3-61(3) pp. 457​-479​.​ DOI: https://doi.org/10.1112/plms/s3-61.3.457 
    ​Details  DOI 
  • 1990 | Journal Article
    ​ ​On Pairs of Diagonal Cubic Forms​
    Brüdern, J. ​ (1990) 
    Proceedings of the London Mathematical Society, s3-61(2) pp. 273​-343​.​ DOI: https://doi.org/10.1112/plms/s3-61.2.273 
    ​Details  DOI 
  • 1989 | Journal Article
    ​ ​Sums of Four Cubes​
    Brüdern, J. ​ (1989) 
    Monatshefte für Mathematik, 107(3) pp. 179​-188​.​ DOI: https://doi.org/10.1007/BF01300342 
    ​Details  DOI 
  • 1988 | Journal Article
    ​ ​A problem in additive number theory​
    Brüdern, J. ​ (1988) 
    Mathematical Proceedings of the Cambridge Philosophical Society, 103(1) pp. 27​-33​.​ DOI: https://doi.org/10.1017/S0305004100064586 
    ​Details  DOI 
  • 1988 | Journal Article
    ​ ​On pairs of additive cubic equations​
    Baker, R. C. & Brüdern, J. ​ (1988) 
    Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 391 pp. 157​-180​.​
    ​Details 
  • 1988 | Journal Article
    ​ ​On Waring's problem for cubes and biquadrates. II​
    Brüdern, J. ​ (1988) 
    Mathematical Proceedings of the Cambridge Philosophical Society, 104(2) pp. 199​-206​.​ DOI: https://doi.org/10.1017/S0305004100065385 
    ​Details  DOI 
  • 1988 | Journal Article
    ​ ​On Waring's Problem for Cubes and Biquadrates​
    Brüdern, J. ​ (1988) 
    Journal of the London Mathematical Society, s2-37(1) pp. 25​-42​.​ DOI: https://doi.org/10.1112/jlms/s2-37.121.25 
    ​Details  DOI 
  • 1988 | Journal Article
    ​ ​Cubic Diophantine inequalities​
    Brüdern, J. ​ (1988) 
    Mathematika, 35(1) pp. 51​-58​.​ DOI: https://doi.org/10.1112/S0025579300006264 
    ​Details  DOI 
  • 1987 | Journal Article
    ​ ​Additive Diophantine inequalities with mixed powers I​
    Brüdern, J. ​ (1987) 
    Mathematika, 34(2) pp. 124​-130​.​ DOI: https://doi.org/10.1112/S0025579300013371 
    ​Details  DOI 
  • 1987 | Journal Article
    ​ ​Sums of Squares and Higher Powers​
    Brüdern, J. ​ (1987) 
    Journal of the London Mathematical Society, s2-35,(2) pp. 233​-250​.​ DOI: https://doi.org/10.1112/jlms/s2-35.2.233 
    ​Details  DOI 

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