SUMS OF KLOOSTERMAN SUMS OVER SQUARE-FREE AND SMOOTH INTEGERS
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.
Authors
- Igor E. Shparlinski (ORCID: https://orcid.org/0000-0002-5246-9391)
- Xuancheng Shao (ORCID: https://orcid.org/0009-0006-2950-8387)
- Laurence P. Wijaya (ORCID: https://orcid.org/0009-0004-9507-0411)
Institutions
- University of Kentucky (US)
- UNSW Sydney (AU)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2025-11-20
- DOI
- https://doi.org/10.1017/s0004972725100609
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation