Some Applications of Laplace Transforms in Analytic Number Theory

Aleksandar Ivić

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arXiv · 1409.0331

Some Applications of Laplace Transforms in Analytic Number Theory

Aleksandar Ivić

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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 $|\zeta(1/2+it)|$, and a discussion of two functional equations connected to a work of Prof. Bogoljub Stankovi\'c.

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Aleksandar Ivić. 2014-09-01. Some Applications of Laplace Transforms in Analytic Number Theory. https://arxiv.org/abs/1409.0331

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