Kodai Mathematical Journal

The Euler product for the Riemann zeta-function in the critical strip

Hirotaka Akatsuka

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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.

Article information

Source
Kodai Math. J. Volume 40, Number 1 (2017), 79-101.

Dates
First available in Project Euclid: 21 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1490083225

Digital Object Identifier
doi:10.2996/kmj/1490083225

Zentralblatt MATH identifier
06732079

Citation

Akatsuka, Hirotaka. The Euler product for the Riemann zeta-function in the critical strip. Kodai Math. J. 40 (2017), no. 1, 79--101. doi:10.2996/kmj/1490083225. https://projecteuclid.org/euclid.kmj/1490083225


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