The L-Functions Have Only Simple Non Trivial Zeros
Complex Variables
2016-02-23 v1
Abstract
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
Keywords
Cite
@article{arxiv.1602.06464,
title = {The L-Functions Have Only Simple Non Trivial Zeros},
author = {Tuan Cao-Huu and Florin Alan Muscutar},
journal= {arXiv preprint arXiv:1602.06464},
year = {2016}
}