# Examination of the Proof of Riemann's hypothesis and the conditions for it to hold for Generalized {\zeta}-functions. It holds for Riemann's {\zeta}-function and the resulting distribution of primes

@inproceedings{Mantzakouras2021ExaminationOT,
title={Examination of the Proof of Riemann's hypothesis and the conditions for it to hold for Generalized \{\zeta\}-functions. It holds for Riemann's \{\zeta\}-function and the resulting distribution of primes},
author={Nikos Mantzakouras},
year={2021}
}
Riemann’s zeta function is one of the most important and fascinating functions of Euler’s mathematics. By analyzing the material of Riemann’s hypothesis, we divide our analysis into the function ζ(z) and the proof of the conjecture, which has very important consequences in terms of the distribution of prime numbers. The proof of Riemann’s hypothesis follows from the simple logic,that when two properties are related, i.e. these equations are zero i.e. ζ(z) = ζ(1− z) = 0 while they have the…

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