Product of a number and its multiplicative inverse, moments of \(L\)-functions and exponential sums

zbMATH Open1387.11068arXiv1412.8069MaRDI QIDQ2830340

Tsz Ho Chan

Publication date: 28 October 2016

Published in: Integers (Search for Journal in Brave)

Abstract: In this paper, we study the average size of the product of a number and its multiplicative inverse modulo a prime p. This turns out to be related to moments of L-functions and leads to a curious asymptotic formula for a certain triple exponential sum.

Full work available at URL: https://arxiv.org/abs/1412.8069

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Mathematics Subject Classification ID

Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (1)

Scalar Products of Certain Hecke L-Series and Moments of Weighted Norm-Counting Functions

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