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arXiv · 2302.14681

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

Ping Xi
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Abstract

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

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Ping Xi. 2023-02-28. A double character sum of Conrey-Iwaniec and Petrow-Young. https://arxiv.org/abs/2302.14681

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