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SOME RELATIONS BETWEEN ζ(2n + 1) AND ζ(2n + 1, α) FOR SPECIAL VALUES OF α

  • Lim, Sung-Geun (Department of Mathematics Education, Mokwon University)
  • Received : 2017.07.05
  • Accepted : 2017.11.02
  • Published : 2017.12.25

Abstract

Hurwitz zeta function occurs in various parts of mathematics. In particular, it plays an important role in some area of number theory. In this paper, using a certain transformation formula, we find some identities of relations between ${\zeta}(2n+1)$ and ${\zeta}(2n+1,{\alpha})$ for special values of ${\alpha}$.

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References

  1. B. C. Berndt, Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan, J. Reine. Angew. Math. 304 (1978), 332-365.
  2. S. Lim, Infinite series identities from modular transformation formulas that stem from generalized Eisenstein seires, Acta Arith. 141 (2010), no 3, 241-273. https://doi.org/10.4064/aa141-3-2
  3. E. C. Titchmarsh, The theory of the Riemann zeta-function, Clarendon Press.Oxford, 1986.