Publication

Sign changes of Kloosterman sums with almost prime moduli

Ping Xi
2015
Journal paper

Abstract

We prove that the Kloosterman sum changes sign infinitely often as runs over squarefree moduli with at most 10 prime factors, which improves the previous results of Fouvry and Michel, Sivak-Fischler and Matomaki, replacing 10 by 23, 18 and 15, respectively. The method combines the Selberg sieve, equidistribution of Kloosterman sums and spectral theory of automorphic forms.

Official source

https://infoscience.epfl.ch/record/208145?ln=en

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Sign changes of Kloosterman sums with almost prime moduli

Graph Chatbot

Chat with Graph Search

Non-planarity of Markoff graphs mod p

Toroidal families and averages of L-functions, I

Algebraic twists of GL(2) automorphic forms

Algebraic twists of GL(2) automorphic forms

Non-planarity of Markoff graphs mod p

Toroidal families and averages of L-functions, I