Number Theory


Discrete Mellin Convolution and Its Extensions, Perron Formula and Explicit Formulae

Authors: Jose Javier Garcia Moreta

In this paper we define a new Mellin discrete convolution, which is related to Perron's formula. Also we introduce new explicit formulae for arithmetic function which generalize the explicit formulae of Weil

Comments: 8 Pages.

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Submission history

[v1] 2017-04-11 14:33:49
[v2] 2017-04-25 10:45:44
[v3] 2017-08-19 09:22:03
[v4] 2019-07-01 05:16:35

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