Some applications of smooth bilinear forms with Kloosterman sums
2017 | book part. A publication with affiliation to the University of Göttingen.
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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
Documents & Media
Details
- Authors
- Blomer, Valentin ; Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Milićević, Djordje
- Editors
- Sergeev, Armen
- Abstract
- We revisit a recent bound of I. Shparlinski and T. P. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier coefficients of modular forms. We use these bounds to improve on earlier results on sums of Kloosterman sums along the primes and on the error term of the fourth moment of Dirichlet ehBfunctions.
- Issue Date
- 2017
- Publisher
- Springer
- Organization
- Mathematisches Institut
- Language
- English
