CERTAIN INTEGRAL REPRESENTATIONS FOR THE RIEMANN ZETA FUNCTION ζ(s) AT POSITIVE INTEGER ARGUMENT

• Journal title : Honam Mathematical Journal
• Volume 35, Issue 4,  2013, pp.639-645
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2013.35.4.639
Title & Authors
CERTAIN INTEGRAL REPRESENTATIONS FOR THE RIEMANN ZETA FUNCTION ζ(s) AT POSITIVE INTEGER ARGUMENT
Choi, Junesang;

Abstract
We aim at presenting certain integral representations for the Riemann Zeta function $\small{{\zeta}(s)}$ at positive integer arguments by using some known integral representations of log $\small{{\Gamma}(1+z)}$ and $\small{{\psi}(1+z)}$.
Keywords
Gamma function;Riemann Zeta function;Hurwitz (or generalized) Zeta function;Psi (or Digamma) function;Polygamma functions;Euler-Mascheroni constant;Fa$\small{\grave{a}}$ di Bruno formula;
Language
English
Cited by
References
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