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Mellin Convolution and its Extensions, Perron Formula and Explicit Formulae
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This version is not peer-reviewed
Submitted:
29 December 2017
Posted:
03 January 2018
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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.
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Subject: Computer Science and Mathematics - Mathematics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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