English

Generalized Riemann hypotheses: sufficient and equivalent criteria

Number Theory 2010-10-25 v2

Abstract

This paper presents new sufficient and equivalent conditions for the generalized version of the Riemann Hypothesis. The paper derives also statements and remarks concerning zero-free regions, modified Hadamard-product formulas and the behaviour of L(χˉ,s)L(χ,1s)|\frac{L(\bar{\chi},s)}{L(\chi,1-s)}|.

Keywords

Cite

@article{arxiv.1005.1609,
  title  = {Generalized Riemann hypotheses: sufficient and equivalent criteria},
  author = {Davide Schipani},
  journal= {arXiv preprint arXiv:1005.1609},
  year   = {2010}
}

Comments

Few changes. Accepted for publication in JP Journal of Algebra, Number Theory and Applications

R2 v1 2026-06-21T15:20:43.461Z