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.
Keywords:
Riemann-weil formula
; perron formula
; explicit formulae
; Riemann zeros
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