English

A new necessary and sufficient condition for the Riemann hypothesis

Number Theory 2007-05-23 v1

Abstract

We give a new equivalent condition for the Riemann hypothesis consisting in an order condition for certain finite rational combinations of the values of the Riemann zeta-function at even positive integers.

Keywords

Cite

@article{arxiv.math/0307215,
  title  = {A new necessary and sufficient condition for the Riemann hypothesis},
  author = {Luis Baez-Duarte},
  journal= {arXiv preprint arXiv:math/0307215},
  year   = {2007}
}
R2 v1 2026-07-22T16:56:18.601Z