q‐Riemann zeta function
Open Access
- 1 January 2004
- journal article
- research article
- Published by Wiley in International Journal of Mathematics and Mathematical Sciences
- Vol. 2004 (12) , 599-605
- https://doi.org/10.1155/s0161171204307180
Abstract
We consider the modified q‐analogue of Riemann zeta function which is defined by , 0 < q < 1, s ∈ ℂ. In this paper, we give q‐Bernoulli numbers which can be viewed as interpolation of the above q‐analogue of Riemann zeta function at negative integers in the same way that Riemann zeta function interpolates Bernoulli numbers at negative integers. Also, we will treat some identities of q‐Bernoulli numbers using nonarchimedean q‐integration.Keywords
Funding Information
- Korea Research Foundation (KRF-2002-050-C00001)
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