Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION

  • Lee, Hye-Rim (Department of Mathematics, College of Natural Sciences, Pusan National University) ;
  • Ok, Bo-Myoung (School of Computer Information Engineering, Youngsan University) ;
  • Choi, June-Sang (Department of Mathematics, College of Natural Sciences, Dongguk University)
  • Published : 2002.01.01
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Abstract

We first review Ramaswami's find Apostol's identities involving the Zeta function in a rather detailed manner. We then present corrected, or generalized formulas, or a different method of proof for some of them. We also give closed-form evaluation of some series involving the Riemann Zeta function by an integral representation of ζ(s) and Apostol's identities given here.

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References

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