On the zeros of the Epstein zeta function

Anirban Mukhopadhyay; Krishnan Rajkumar; Kotyada Srinivas

On the zeros of the Epstein zeta function

Number Theory 2012-12-27 v1

Authors: Anirban Mukhopadhyay , Krishnan Rajkumar , Kotyada Srinivas

Abstract

In this article, we count the number of consecutive zeros of the Epstein zeta-function, associated to a certain quadratic form, on the critical line with ordinates lying in $[0,T], T$ sufficiently large and which are separated apart by a given positive number $V$ .

Keywords

riemann zeta function zeta functions zeta values and euler sums

Cite

@article{arxiv.1102.0367,
  title  = {On the zeros of the Epstein zeta function},
  author = {Anirban Mukhopadhyay and Krishnan Rajkumar and Kotyada Srinivas},
  journal= {arXiv preprint arXiv:1102.0367},
  year   = {2012}
}

Comments

13 pages, to appear in proceedings of CINTAA, 2006

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