Non-trivial zeros of Riemann's Zeta function via revised Euler-Maclaurin-Siegel and Abel-Plana summation formulas
Yang, Xiao-Jun
arXiv, 1811.02418 / Harvested from arXiv
Text on arXiv
This paper addresses the revised Euler-Maclaurin-Siegel and Abel-Plana summation formulas and proves the Riemann hypothesis with the aid of the critical strip and the Todd type functions for the first time. The distribution formulae of the prime numbers and the twin prime numbers are discussed in detail. We also present the proof that all prime numbers are not less than 1. The results may be as accurately and efficiently mathematical approaches provided to open up the dawn of a new age in analytic number theory.
Publié le : 2018-11-03
Classification:  Mathematics - General Mathematics,  11M26, 11M06, 11M32 
@article{1811.02418,
     author = {Yang, Xiao-Jun},
     title = {Non-trivial zeros of Riemann's Zeta function via revised
  Euler-Maclaurin-Siegel and Abel-Plana summation formulas},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1811.02418}
}

Yang, Xiao-Jun. Non-trivial zeros of Riemann's Zeta function via revised
  Euler-Maclaurin-Siegel and Abel-Plana summation formulas. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1811.02418/