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Moment of double exponential sums

Number Theory 2025-11-11 v1

Abstract

This paper is devoted to finding moments of double exponential sums with monomials over arbitrary sets and intervals in finite fields. The study of such sums dates back to the work of Heath-Brown, who studied such sums in a work on least square-free numbers in an arithmetic progression.

Keywords

Cite

@article{arxiv.2511.06969,
  title  = {Moment of double exponential sums},
  author = {Nilanjan Bag and Dwaipayan Mazumder},
  journal= {arXiv preprint arXiv:2511.06969},
  year   = {2025}
}

Comments

7 Pages, Comments are welcome