English

A double character sum of Conrey-Iwaniec and Petrow-Young

Number Theory 2023-03-01 v1

Abstract

We show that a double character sum, appearing in the work of Conrey-Iwaniec and Petrow-Young on Weyl bound for certain LL-functions, is essentially a hypergeometric sum introduced by Katz. This produces a simple proof of the upper bound for this sum.

Keywords

Cite

@article{arxiv.2302.14681,
  title  = {A double character sum of Conrey-Iwaniec and Petrow-Young},
  author = {Ping Xi},
  journal= {arXiv preprint arXiv:2302.14681},
  year   = {2023}
}

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5 pages