The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line

I. S. Rezvyakova

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arXiv · 2411.18492

The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line

I. S. Rezvyakova

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Abstract

It is proved that the Epstein zeta-function corresponding to a binary positive definite quadratic form with integer coefficients has a positive proportion of its non-trivial zeros on the critical line.

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I. S. Rezvyakova. 2024-11-27. The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line. https://arxiv.org/abs/2411.18492

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