Article
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Mellin Convolution and its Extensions, Perron Formula and Explicit Formulae
Version 1
: Received: 29 December 2017 / Approved: 3 January 2018 / Online: 3 January 2018 (05:07:10 CET)
How to cite: Garcia Moreta, J. J. Mellin Convolution and its Extensions, Perron Formula and Explicit Formulae. Preprints 2018, 2018010020. https://doi.org/10.20944/preprints201801.0020.v1 Garcia Moreta, J. J. Mellin Convolution and its Extensions, Perron Formula and Explicit Formulae. Preprints 2018, 2018010020. https://doi.org/10.20944/preprints201801.0020.v1
Abstract
In this paper we use the Mellin convolution theorem, which is related to Perron's formula. Also we introduce new explicit formulae for arithmetic function which generalize the explicit formulae of Weil for other arithmetic functions different from the Von-Mangoldt function.
Keywords
Riemann-weil formula; perron formula; explicit formulae; Riemann zeros
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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