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

The L-Functions Have Only Simple Non Trivial Zeros