On the zeros of the Epstein zeta function

Details On the zeros of the Epstein zeta function On the zeros of the Epstein zeta function

2011-02-02

arxiv.org/abs/1102.0367v1

Mathematics

Number Theory

13 pages, to appear in proceedings of CINTAA, 2006

Scientific paper

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 $V$.

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