Version 1
: Received: 3 May 2021 / Approved: 6 May 2021 / Online: 6 May 2021 (11:30:06 CEST)
How to cite:
Yang, X. On the Distribution of the Nontrivial Zeros for the Dirichlet L-Functions. Preprints2021, 2021050072. https://doi.org/10.20944/preprints202105.0072.v1
Yang, X. On the Distribution of the Nontrivial Zeros for the Dirichlet L-Functions. Preprints 2021, 2021050072. https://doi.org/10.20944/preprints202105.0072.v1
Yang, X. On the Distribution of the Nontrivial Zeros for the Dirichlet L-Functions. Preprints2021, 2021050072. https://doi.org/10.20944/preprints202105.0072.v1
APA Style
Yang, X. (2021). On the Distribution of the Nontrivial Zeros for the Dirichlet <em>L</em>-Functions. Preprints. https://doi.org/10.20944/preprints202105.0072.v1
Chicago/Turabian Style
Yang, X. 2021 "On the Distribution of the Nontrivial Zeros for the Dirichlet <em>L</em>-Functions" Preprints. https://doi.org/10.20944/preprints202105.0072.v1
Abstract
This paper addresses a variant of the product for the Dirichlet $L$--functions. We propose a completely detailed proof for the truth of the generalized Riemann conjecture for the Dirichlet $L$--functions, which states that the real part of the nontrivial zeros is $1/2$. The Wang and Hardy--Littlewood theorems are also discussed with removing the need for it. The results are applicable to show the truth of the Goldbach's conjecture.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
