Prof. Dr. Valentin Blomer

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  • 2019 | Journal Article
    ​ ​On the global sup-norm of GL(3) cusp forms​
    Blomer, V. ; Harcos, G. & Maga, P.​ (2019) 
    Israel Journal of Mathematics, 229(1) pp. 357​-379​.​ DOI: https://doi.org/10.1007/s11856-018-1805-y 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Twisted moments of L-functions and spectral reciprocity​
    Blomer, V.   & Khan, R.​ (2019) 
    Duke Mathematical Journal, 168(6).​ DOI: https://doi.org/10.1215/00127094-2018-0060 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Uniform subconvexity and symmetry breaking reciprocity​
    Blomer, V.   & Khan, R.​ (2019) 
    Journal of Functional Analysis, 276(7) pp. 2315​-2358​.​ DOI: https://doi.org/10.1016/j.jfa.2018.11.009 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​A spectral reciprocity formula and non-vanishing for L-functions on GL(4)×GL(2)​
    Blomer, V. ; Li, X. & Miller, S. D.​ (2019) 
    Journal of Number Theory, 205 pp. 1​-43​.​ DOI: https://doi.org/10.1016/j.jnt.2019.05.011 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Spectral summation formulae for GSp(4) and moments of spinor $L$-functions​
    Blomer, V. ​ (2019) 
    Journal of the European Mathematical Society, 21(6) pp. 1751​-1774​.​ DOI: https://doi.org/10.4171/JEMS/872 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Global decomposition of GL(3) Kloosterman sums and the spectral large sieve​
    Blomer, V.   & Buttcane, J.​ (2019) 
    Journal für die Reine und Angewandte Mathematik, 2019(757) pp. 51​-88​.​ DOI: https://doi.org/10.1515/crelle-2017-0034 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​On the Rank of Universal Quadratic Forms over Real Quadratic Fields​
    Blomer, V.   & Kala, V.​ (2018) 
    Documenta Mathematica, 23 pp. 15​-34​.​ DOI: https://doi.org/10.4171/dm/611 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Epstein zeta-functions, subconvexity, and the purity conjecture​
    Blomer, V. ​ (2018) 
    Journal of the Institute of Mathematics of Jussieu, 19(2) pp. 581​-596​.​ DOI: https://doi.org/10.1017/S1474748018000142 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Higher order divisor problems​
    Blomer, V. ​ (2018) 
    Mathematische Zeitschrift, 290(3-4) pp. 937​-952​.​ DOI: https://doi.org/10.1007/s00209-018-2046-9 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Small gaps in the spectrum of the rectangular billiard​
    Blomer, V. ; Bourgain, J.; Radziwiłł, M. & Rudnick, Z.​ (2017) 
    Annales scientifiques de l'École normale supérieure, 50(5) pp. 1283​-1300​.​ DOI: https://doi.org/10.24033/asens.2345 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​On moments of twisted L-functions​
    Blomer, V. ; Fouvry, É.; Kowalski, E.; Michel, P. & Milićević, D.​ (2017) 
    American Journal of Mathematics, 139(3) pp. 707​-768​.​ DOI: https://doi.org/10.1353/ajm.2017.0019 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​On triple correlations of divisor functions​
    Blomer, V. ​ (2017) 
    Bulletin of the London Mathematical Society, 49(1) pp. 10​-22​.​ DOI: https://doi.org/10.1112/blms.12004 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​ehBadic analytic twists and strong subconvexity​
    Blomer, V.   & Milićević, D.​ (2017) 
    Annales scientifiques de l'École normale supérieure, 48(3) pp. 561​-605​.​ DOI: https://doi.org/10.24033/asens.2252 
    ​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
    ​ ​Applications of the Kuznetsov formula on GL(3) II: the level aspect​
    Blomer, V. ; Buttcane, J. & Maga, P.​ (2017) 
    Mathematische Annalen, 369(1-2) pp. 723​-759​.​ DOI: https://doi.org/10.1007/s00208-017-1558-7 
    ​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 
  • 2017 | Book Chapter
    ​ ​Some applications of smooth bilinear forms with Kloosterman sums​
    Blomer, V. ; Fouvry, É.; Kowalski, E.; Michel, P.& Milićević, D.​ (2017)
    In:​Sergeev, Armen​ (Ed.), Proceedings of the Steklov Institute of Mathematic pp. 18​-29. ​Springer. DOI: https://doi.org/10.1134/S0081543817010023 
    ​Details  DOI  arXiv 
  • 2016 | Journal Article
    ​ ​The sup-norm problem for GL(2) over number fields​
    Blomer, V. ; Harcos, G.; Maga, P. & Milićević, D.​ (2016) 
    Journal of the European Mathematical Society, 22(1) pp. 1​-53​.​ DOI: https://doi.org/10.4171/JEMS/916 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​The sup-norm problem on the Siegel modular space of rank two​
    Blomer, V.   & Pohl, A. ​ (2016) 
    American Journal of Mathematics, 138(4) pp. 999​-1027​.​ DOI: https://doi.org/10.1353/ajm.2016.0032 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​Subconvexity for sup-norms of cusp forms on PGL ( n )​
    Blomer, V.   & Maga, P.​ (2016) 
    Selecta Mathematica, 22(3) pp. 1269​-1287​.​ DOI: https://doi.org/10.1007/s00029-015-0219-5 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Bounding hyperbolic and spherical coefficients of Maass forms​
    Blomer, V. ; Brumley, F.; Kontorovich, A. & Templier, N.​ (2015) 
    Journal de Théorie des Nombres de Bordeaux, 26(3) pp. 559​-578​.​ DOI: https://doi.org/10.5802/jtnb.879 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Bounds for eigenforms on arithmetic hyperbolic $ -manifolds​
    Blomer, V. ; Harcos, G. & Milićević, D.​ (2015) 
    Duke Mathematical Journal, 165(4) pp. 625​-659​.​ DOI: https://doi.org/10.1215/00127094-3166952 
    ​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
    ​ ​On the size of Ikeda lifts​
    Blomer, V. ​ (2015) 
    Manuscripta Mathematica, 148(3-4) pp. 341​-349​.​ DOI: https://doi.org/10.1007/s00229-015-0749-3 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Number fields without n-ary universal quadratic forms​
    Blomer, V.   & KALA, V. ​ (2015) 
    Mathematical Proceedings of the Cambridge Philosophical Society, 159(02) pp. 239​-252​.​ DOI: https://doi.org/10.1017/s030500411500033x 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​The Second Moment of Twisted Modular L-Functions​
    Blomer, V.   & Milićević, D.​ (2015) 
    Geometric and Functional Analysis, 25(2) pp. 453​-516​.​ DOI: https://doi.org/10.1007/s00039-015-0318-7 
    ​Details  DOI 
  • 2015 | Journal Article
    ​ ​Kloosterman sums in residue classes​
    Blomer, V.   & Milićević, D.​ (2015) 
    Journal of the European Mathematical Society, 17(1) pp. 51​-69​.​ DOI: https://doi.org/10.4171/jems/498 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​The Sup-Norm Problem for PGL(4)​
    Blomer, V.   & Maga, P.​ (2014) 
    International Mathematics Research Notices, 2015(14) pp. 5311​-5332​.​ DOI: https://doi.org/10.1093/imrn/rnu100 
    ​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
    ​ ​A Sato–Tate law for GL (3)​
    Blomer, V. ; Buttcane, J. & Raulf, N.​ (2014) 
    Commentarii Mathematici Helvetici, 89(4) pp. 895​-919​.​ DOI: https://doi.org/10.4171/cmh/337 
    ​Details  DOI 
  • 2014 | Journal Article
    ​ ​Addendum: Hybrid bounds for twisted L-functions​
    Blomer, V.   & Harcos, G.​ (2014) 
    Journal für die reine und angewandte Mathematik (Crelles Journal), 2014(694) pp. 241​-244​.​ DOI: https://doi.org/10.1515/crelle-2012-0091 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Distribution of mass of holomorphic cusp forms​
    Blomer, V. ; Khan, R.   & Young, M.​ (2013) 
    Duke Mathematical Journal, 162(14) pp. 2609​-2644​.​ DOI: https://doi.org/10.1215/00127094-2380967 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​On the 4-norm of an automorphic form​
    Blomer, V. ​ (2013) 
    Journal of the European Mathematical Society, 15(5) pp. 1825​-1852​.​ DOI: https://doi.org/10.4171/jems/405 
    ​Details  DOI 
  • 2013 | Journal Article
    ​ ​Twins of powerful numbers​
    Blomer, V.   & Schoebel, A. ​ (2013) 
    Functiones et Approximatio, 49(2) pp. 349​-356​.​ DOI: https://doi.org/10.7169/facm/2013.49.2.12 
    ​Details  DOI 
  • 2013 | Journal Article | 
    ​ ​Applications of the Kuznetsov formula on GL(3)​
    Blomer, V. ​ (2013) 
    Inventiones mathematicae, 194(3) pp. 673​-729​.​ DOI: https://doi.org/10.1007/s00222-013-0454-3 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​L-Functions with n-th-Order Twists​
    Blomer, V. ; Goldmakher, L. & Louvel, B.​ (2012) 
    International Mathematics Research Notices,.​ DOI: https://doi.org/10.1093/imrn/rns257 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Subconvexity for twisted <i>L</i>-functions on GL(3)​
    Blomer, V. ​ (2012) 
    American Journal of Mathematics, 134(5) pp. 1385​-1421​.​ DOI: https://doi.org/10.1353/ajm.2012.0032 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions​
    Blomer, V.   & Harcos, G.​ (2012) 
    Proceedings of the London Mathematical Society, 105(3) pp. 473​-505​.​ DOI: https://doi.org/10.1112/plms/pdr069 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​Friable values of binary forms​
    Balog, A.; Blomer, V. ; Dartyge, C. & Tenenbaum, G.​ (2012) 
    Commentarii Mathematici Helvetici, pp. 639​-667​.​ DOI: https://doi.org/10.4171/cmh/264 
    ​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 | 
    ​ ​Period Integrals and Rankin–Selberg L-functions on GL(n)​
    Blomer, V. ​ (2012) 
    Geometric and Functional Analysis, 22(3) pp. 608​-620​.​ DOI: https://doi.org/10.1007/s00039-012-0166-7 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​Non-vanishing of class group ehBfunctions at the central point​
    Blomer, V. ​ (2011) 
    Annales de l'Institut Fourier, 54(4) pp. 831​-847​.​ DOI: https://doi.org/10.5802/aif.2035 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​On the Ramanujan conjecture over number fields​
    Blomer, V.   & Brumley, F.​ (2011) 
    Annals of Mathematics, 174(1) pp. 581​-605​.​ DOI: https://doi.org/10.4007/annals.2011.174.1.18 
    ​Details  DOI 
  • 2011 | Journal Article
    ​ ​Sup-norms of Eigenfunctions on Arithmetic Ellipsoids​
    Blomer, V.   & Michel, P.​ (2011) 
    International Mathematics Research Notices,.​ DOI: https://doi.org/10.1093/imrn/rnq280 
    ​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 | 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 
  • 2010 | Journal Article | 
    ​ ​Twisted L-Functions Over Number Fields and Hilbert’s Eleventh Problem​
    Blomer, V.   & Harcos, G.​ (2010) 
    Geometric and Functional Analysis, 20(1) pp. 1​-52​.​ DOI: https://doi.org/10.1007/s00039-010-0063-x 
    ​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
    ​ ​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 | Journal Article
    ​ ​Bounding sup-norms of cusp forms of large level​
    Blomer, V.   & Holowinsky, R.​ (2009) 
    Inventiones mathematicae, 179(3) pp. 645​-681​.​ DOI: https://doi.org/10.1007/s00222-009-0228-0 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​On the central value of symmetric square L-functions​
    Blomer, V. ​ (2008) 
    Mathematische Zeitschrift, 260(4) pp. 755​-777​.​ DOI: https://doi.org/10.1007/s00209-008-0299-4 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Bounds for modular L-functions in the level aspect​
    Blomer, V. ; Harcos, G. & Michel, P.​ (2008) 
    Annales Scientifiques de l’École Normale Supérieure, 40(5) pp. 697​-740​.​ DOI: https://doi.org/10.1016/j.ansens.2007.05.003 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Sums of Hecke Eigenvalues over Values of Quadratic Polynomials​
    Blomer, V. ​ (2008) 
    International Mathematics Research Notices,.​ DOI: https://doi.org/10.1093/imrn/rnn059 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​Uniform bounds for Fourier coefficients of theta-series with arithmetic applications​
    Blomer, V. ​ (2008) 
    Acta Arithmetica, 114(1) pp. 1​-21​.​ DOI: https://doi.org/10.4064/aa114-1-1 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​The spectral decomposition of shifted convolution sums​
    Blomer, V.   & Harcos, G.​ (2008) 
    Duke Mathematical Journal, 144(2) pp. 321​-339​.​ DOI: https://doi.org/10.1215/00127094-2008-038 
    ​Details  DOI 
  • 2008 | Journal Article
    ​ ​On the number of integers represented by systems of Abelian norm forms​
    Blomer, V.   & Schlage-Puchta, J.-C.​ (2008) 
    Acta Arithmetica, 123(2) pp. 183​-199​.​ DOI: https://doi.org/10.4064/aa123-2-5 
    ​Details  DOI 
  • 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 Average Value of Divisot Sums In Arithmetic Progressions​
    Blomer, V. ​ (2007) 
    The Quarterly Journal of Mathematics, 59(3) pp. 275​-286​.​ DOI: https://doi.org/10.1093/qmath/ham044 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Estimates for representation numbers of quadratic forms​
    Blomer, V.   & Granville, A.​ (2006) 
    Duke Mathematical Journal, 135(2) pp. 261​-302​.​ DOI: https://doi.org/10.1215/s0012-7094-06-13522-6 
    ​Details  DOI 
  • 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 
  • 2005 | Journal Article
    ​ ​BINARY QUADRATIC FORMS WITH LARGE DISCRIMINANTS AND SUMS OF TWO SQUAREFUL NUMBERS II​
    Blomer, V. ​ (2005) 
    Journal of the London Mathematical Society, 71(01) pp. 69​-84​.​ DOI: https://doi.org/10.1112/s0024610704006040 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Rankin-Selberg L-functions on the critical line​
    Blomer, V. ​ (2005) 
    manuscripta mathematica, 117(2) pp. 111​-133​.​ DOI: https://doi.org/10.1007/s00229-005-0557-2 
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​Binary quadratic forms with large discriminants and sums of two squareful numbers​
    Blomer, V. ​ (2004) 
    Journal für die reine und angewandte Mathematik (Crelles Journal), 2004(569) pp. 213​-234​.​ DOI: https://doi.org/10.1515/crll.2004.027 
    ​Details  DOI 
  • 2004 | Journal Article
    ​ ​On cusp forms associated with binary theta series​
    Blomer, V. ​ (2004) 
    Archiv der Mathematik, 82(2) pp. 140​-146​.​ DOI: https://doi.org/10.1007/s00013-003-4806-x 
    ​Details  DOI 
  • 2003 | Journal Article
    ​ ​Thin bases of order $​
    Blomer, V. ​ (2003) 
    Journal of Number Theory, 98(1) pp. 34​-46​.​ DOI: https://doi.org/10.1016/s0022-314x(02)00036-7 
    ​Details  DOI 

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