• A generalization of the riemann zeta-function

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/099/02/0155-0162

• Keywords

Riemann zeta-function

• Abstract

A generalization of the Riemann zeta-function which has the form$$\zeta _\alpha (s) = \prod\limits_p {\frac{1}{{1 - p^{ - s} + (p + a)^{ - 3} }}}$$ is considered. Analytical properties with respect to s and asymptotic behaviour whena → ∞ are investigated. The correspondingL-function is also discussed. This consideration has an application in the theory ofp-adic strings.

• Author Affiliations

1. Tata Institute of Fundamental Research, Bombay - 400005, India
2. Steklov Mathematical Institute, Moscow, USSR

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

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Posted on July 25, 2019