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

Published 28 Feb 2023 in math.NT | (2302.14681v1)

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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