Corpus ID: 126061250

Zeros of general L-functions on the critical line[HBNI Th52]

@inproceedings{Rajkumar2012ZerosOG,
  title={Zeros of general L-functions on the critical line[HBNI Th52]},
  author={K. Rajkumar},
  year={2012}
}
We study the gaps between consecutive zeros on the critical line for the Riemann zeta function ζ(s) and certain generalisations of ζ(s), namely, the Epstein zeta function and the Selberg class of functions. We first give a simplified exposition of a result of Ivić and Jutila on the large gaps between consecutive zeros of ζ(s) on the critical line. We then present a generalization of this result to the case of the Epstein zeta function ζQ(s) associated to a certain binary, positive definite… Expand
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