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arXiv · 0706.0256

Proof of generalized Riemann hypothesis for Dedekind zetas and Dirichlet L-functions

Andrzej Mcadrecki
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Abstract

A short proof of the generalized Riemann hypothesis (gRH in short) for zeta functions $ζ_{k}$ of algebraic number fields $k$ - based on the Hecke's proof of the functional equation for $ζ_{k}$ and the method of the proof of the Riemann hypothesis derived in [$M_{A}$] (algebraic proof of the Riemann hypothesis) is given. The generalized Riemann hypothesis for Dirichlet L-functions is an immediately consequence of (gRH) for $ζ_{k}$ and suitable product formula which connects the Dedekind zetas with L-functions.

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BibTeXRIS

Andrzej Mcadrecki. 2007-06-02. Proof of generalized Riemann hypothesis for Dedekind zetas and Dirichlet L-functions. https://arxiv.org/abs/0706.0256

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