Note on the Zeros of a Dirichlet Function

Les Ferry; Dorin Ghisa; Florin Alan Muscutar

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arXiv · 1503.05129

Note on the Zeros of a Dirichlet Function

Les Ferry·Dorin Ghisa·Florin Alan Muscutar

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Abstract

The existence of non trivial zeros off the critical line for a function obtained by analytic continuation of a particular Dirichlet series is studied. Contrary to what has been presumed for a long time, we prove that such zeros cannot exist.

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Les Ferry, Dorin Ghisa, Florin Alan Muscutar. 2015-03-13. Note on the Zeros of a Dirichlet Function. https://arxiv.org/abs/1503.05129

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