A study in sums of products-Reference-Cited by-同舟云学术

A study in sums of products

Published:2015-04-28 Issue:2040 Volume:373 Page:20140309
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Fouvry Étienne¹,Kowalski Emmanuel²,Michel Philippe³

Affiliation:

1. Université Paris Sud, Laboratoire de Mathématique, Campus d'Orsay, 91405 Orsay Cedex, France

2. ETH Zürich – D-MATH, Rämistrasse 101, 8092 Zürich, Switzerland

3. EPFL/SB/IMB/TAN, Station 8, 1015 Lausanne, Switzerland

Abstract

We give a general version of cancellation in exponential sums that arise as sums of products of trace functions satisfying a suitable independence condition related to the Goursat–Kolchin–Ribet criterion, in a form that is easily applicable in analytic number theory.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2014.0309

Reference24 articles.

1. Minorations de sommes d’exponentielles

2. Fouvry É Kowalski E& Michel Ph. 2012 Algebraic twists of modular forms and Hecke orbits. (http://arxiv.org/abs/1207.0617).

3. Algebraic trace functions over the primes

4. ON THE EXPONENT OF DISTRIBUTION OF THE TERNARY DIVISOR FUNCTION

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new type of superorthogonality;Proceedings of the American Mathematical Society;2023-12-01

2. Chowla and Sarnak conjectures for Kloosterman sums;Mathematische Nachrichten;2023-08-16

3. Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate;Science China Mathematics;2023-07-05

4. Rankin-Selberg coefficients in large arithmetic progressions;Science China Mathematics;2023-06-09

5. Distribution of Kloosterman paths to high prime power moduli;Transactions of the American Mathematical Society, Series B;2023-06-07