Number Theory

    

On The Riemann Hypothesis

Authors: Roland Quême, Abdelmajid Ben Hadj Salem

The aim of this article is to prove that all the roots of the Dirichlet eta function are only on the critical line, which implies that the Riemann hypothesis is true. The roots of the eta and zeta functions in the critical strip are the same. We shall investigate the possibility or not of existence of roots of the eta function which are in the critical strip and not on the critical line.

Comments: 4 Pages. Submitted to Compositio Mathematica Journal. Comments welcome.

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[v1] 2024-11-16 16:52:31

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