Moment of Kummer sums weighted by $L$-functions

Nilanjan Bag

Moment of Kummer sums weighted by $L$-functions

Number Theory 2024-01-25 v1

Authors: Nilanjan Bag

Abstract

The main purpose of this article is to study higher order moments of Kummer sums weighted by $L$ -functions using estimates for character sums and analytic methods. The results of this article complement a conjecture of Zhang Wenpeng (2002). Also the results in this article give analogous results of Kummer's conjecture (1846).

Keywords

Kummer sums L-functions character sums higher order moments analytic methods Kummer's conjecture

Cite

@article{arxiv.2401.13580,
  title  = {Moment of Kummer sums weighted by $L$-functions},
  author = {Nilanjan Bag},
  journal= {arXiv preprint arXiv:2401.13580},
  year   = {2024}
}

Comments

16 pages, Comments are welcome

Related papers

View all related →