Sums of kloosterman sums over square-free and smooth integers

Authors

• Xuancheng Shao, University of KentuckyFollow
• Igor E. Shparlinski, University of New South WalesFollow
• Laurence P. Wijaya, University of KentuckyFollow

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. Some of our results are presented in the much more general setting of trace functions.

Document Type

Article

Publication Date

6-1-2026

Notes/Citation Information

Publisher Copyright: © The Author(s), 2025.

Digital Object Identifier (DOI)

10.1017/S0004972725100609

Archival?

Archival

Repository Citation

Shao, Xuancheng; Shparlinski, Igor E.; and Wijaya, Laurence P., "Sums of kloosterman sums over square-free and smooth integers" (2026). Mathematics Faculty Publications. 53.
https://uknowledge.uky.edu/math_facpub/53