English

On some conjectures on Generalized quadratic Gauss sums and related problems

Number Theory 2021-05-25 v1

Abstract

The main purpose of this article is to study higher power mean values of generalized quadratic Gauss sums using estimates for character sums, analytic method and algebraic geometric methods. In this article, we prove two conjectures which were proposed in \cite{BLZ}.

Keywords

Cite

@article{arxiv.2105.11214,
  title  = {On some conjectures on Generalized quadratic Gauss sums and related problems},
  author = {Nilanjan Bag and Antonio Rojas-León and Zhang Wenpeng},
  journal= {arXiv preprint arXiv:2105.11214},
  year   = {2021}
}

Comments

12 Pages, no figures, comments are welcome. arXiv admin note: text overlap with arXiv:2104.09888