A generalization of the riemann zeta-function

Ramachandra, K. ; Volovich, I. V. (1989) A generalization of the riemann zeta-function Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 99 (2). pp. 155-162. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/99/2/155-16...

Related URL: http://dx.doi.org/10.1007/BF02837802

Abstract

A generalization of the Riemann zeta-function which has the form ζα (S)=πp1/1−p−s+(p+α)−3 is considered. Analytical properties with respect to s and asymptotic behaviour when α→∞ are investigated. The corresponding L-function is also discussed. This consideration has an application in the theory of p-adic strings.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Riemann Zeta-function
ID Code:49195
Deposited On:19 Jul 2011 09:43
Last Modified:18 May 2016 04:00

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