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文章基本信息

  • 标题:q-Riemann zeta function
  • 本地全文:下载
  • 作者:Taekyun Kim
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2004
  • 卷号:2004
  • 期号:12
  • 页码:599-605
  • DOI:10.1155/S0161171204307180
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We consider the modified q -analogue of Riemann zeta function which is defined by ζ q ( s ) = ∑ n = 1 ∞ ( q n ( s − 1 ) / [ n ] s ) , 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.

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