Some applications of smooth bilinear forms with Kloosterman sums

被引：0

作者：

Valentin Blomer

Étienne Fouvry

Emmanuel Kowalski

Philippe Michel

Djordje Milićević

机构：

[1] Universität Göttingen,Mathematisches Institut

[2] Université Paris–Saclay,Laboratoire de Mathématiques d’Orsay

[3] ETH Zürich,Department of Mathematics

[4] École Polytechnique Fédérale de Lausanne,Chaire TAN

[5] Station 8,Department of Mathematics

[6] Bryn Mawr College,undefined

[7] Max-Planck-Institut für Mathematik,undefined

来源：

Proceedings of the Steklov Institute of Mathematics | 2017年 / 296卷

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D O I：

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中图分类号：

学科分类号：

摘要：

We revisit a recent bound of I. Shparlinski and T. 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 L-functions.

引用

页码：18 / 29

页数：11

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