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arxiv: 1412.8069 · v1 · pith:74D23CHSnew · submitted 2014-12-27 · 🧮 math.NT

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

classification 🧮 math.NT
keywords exponentialinversel-functionsmomentsmultiplicativenumberproductsize
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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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