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

Author:

Moreta, Jose Javier Garcia

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

October 28, 2024

File:

/Research Papers-Mathematics and Applied Mathematics/Download/9984

Downloads:

Keywords:

Mellin, theorem, convolution

Abstract:

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.

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