All but Finitely Many Nontrivial Zeros of the Approximations of the Epstein Zeta Function Are Simple and on the Critical Line

  • Haseo Ki
  • Published 2004

Abstract

Abstract. The Chowla-Selberg formula is applied in approximating a given Epstein zeta function. Partial sums of the series derive from the Chowla-Selberg formula, and although these partial sums satisfy a functional equation as does in an Epstein zeta function, they do not possess an Euler product. What we call partial sums throughout this paper may be… (More)

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Cite this paper

@inproceedings{Ki2004AllBF, title={All but Finitely Many Nontrivial Zeros of the Approximations of the Epstein Zeta Function Are Simple and on the Critical Line}, author={Haseo Ki}, year={2004} }