Some applications of Laplace transforms in analytic number theory
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1.

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In this overview paper, presented at the meeting DANS34, Novi Sad, July 3-7, 2014, we give some applications of Laplace transforms to analytic number theory. These include the classical circle and divisor problem, moments of $|\zt|$, and a discussion of two functional equations connected to a work of Prof. Bogoljub Stankovi\'c.
Publié le :
DOI : 10.30755/NSJOM.dans14.02
Classification : 44A10, 39B22, 11N37, 11M06
Keywords: Laplace transforms, circle problem, divisor problem, Riemann zeta-function
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Aleksandar Ivić. Some applications of Laplace transforms in analytic number theory. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1. doi : 10.30755/NSJOM.dans14.02. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.dans14.02/

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