Some Applications of Laplace Transforms in Analytic Number Theory
Abstract
In this overview paper, presented at the meeting DANS14, Novi Sad, July3-7, 2014, we give some applications of Laplace transforms to analytic number theory. These include the classical circle and divisor problem, moments of |ζ(1/2+it)|, and a discussion of two functional equations connected to a work of Prof. Bogoljub Stankovi\'c.
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