Sums of Kloosterman sums over square-free and smooth integers

2024/11/18 by Xuancheng Shao, Shao, Xuancheng, Igor E. Shparlinski +3 · 1 citation
Mathematics · Computer Science · #Analytic Number Theory Research #Limits and Structures in Graph Theory #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.2411.12113

Abstract

Recently there has been a large number of works on bilinear sums with Kloosterman sums and on sums of Kloosterman sums twisted by arithmetic functions. Motivated by these, we consider several related new questions about sums of Kloosterman sums parametrised by square-free and smooth integers.

Cited by

• Character sums of Division polynomials twisted by multiplicative functions

Related

• Bounds on bilinear sums of Kloosterman sums
• Sums of Kloosterman sums over primes in an arithmetic progression
• An identity for the Kloosterman sum
• Some Congruences of Kloosterman Sums and their Minimal Polynomials
• Bilinear forms with Kloosterman sums via quadratic characters