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arXiv · 1412.8069

Size of product of a number and its multiplicative inverse, Moments of L-functions and Exponential Sums

Tsz Ho Chan
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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.

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Tsz Ho Chan. 2014-12-27. Size of product of a number and its multiplicative inverse, Moments of L-functions and Exponential Sums. https://arxiv.org/abs/1412.8069

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