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Florin Alan Muscutar

Publications and source records attributed to Florin Alan Muscutar.

2 recordsLinked to original sources
arXiv2016

The L-Functions Have Only Simple Non Trivial Zeros

By using an analogy with the case of very close zeros symmetric with respect to the critical line of the Davenport and Heilbronn function, we study the conformal mapping of L-functions in a neighborhood of a hypothetical double zero and conclude that such a zero cannot exist. Keywords: Riemann Hypothesis, non trivial zeros, Ghisa's strips, Ghisa's fundamental domains, Ghisa's intertwined curves 2010 Mathematics Subject Classification: 30C35; 11M26

math.CV↗
arXiv2015

Note on the Zeros of a Dirichlet Function

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.

math.CV↗