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March 2017 The Euler product for the Riemann zeta-function in the critical strip
Hirotaka Akatsuka
Kodai Math. J. 40(1): 79-101 (March 2017). DOI: 10.2996/kmj/1490083225

Abstract

In this paper we study a pointwise asymptotic behavior of the partial Euler product for the Riemann zeta-function on the right half of the critical strip. We discuss relations among the behavior of the partial Euler product, the distribution of the prime numbers and the distribution of nontrivial zeros of the Riemann zeta-function.

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Hirotaka Akatsuka. "The Euler product for the Riemann zeta-function in the critical strip." Kodai Math. J. 40 (1) 79 - 101, March 2017. https://doi.org/10.2996/kmj/1490083225

Information

Published: March 2017
First available in Project Euclid: 21 March 2017

zbMATH: 06732079
MathSciNet: MR3626575
Digital Object Identifier: 10.2996/kmj/1490083225

Rights: Copyright © 2017 Tokyo Institute of Technology, Department of Mathematics

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Vol.40 • No. 1 • March 2017
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