Note on the Zeros of a Dirichlet Function

2015/03/13 by Les Ferry, Ferry, Les, Dorin Ghisa +3
Mathematics · #11M26 #30C35 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:11M26 #msc:30C35

paper · pdf · doi:10.48550/arxiv.1503.05129

7 pages, 2 figures

arxiv created 2015/03/13 · arxiv updated 2015/03/18

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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