arXiv 1409.03312014-09-01math.NT

Some Applications of Laplace Transforms in Analytic Number Theory

Aleksandar Ivić

备注：: 15 pages
发表信息：: Novi Sad J. of Math. 45(2015), Vol. 1, 31-44

英文摘要：

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 Stanković.

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