English

A simple proof of the generalized strong recurrence for any non-zero parameter

Number Theory 2010-09-23 v4 Probability

Abstract

The strong recurrence is equivalent to the Riemann hypothesis. In the present paper, we give a simple proof of the generalized strong recurrence for all non-zero parameters.

Keywords

Cite

@article{arxiv.1006.3184,
  title  = {A simple proof of the generalized strong recurrence for any non-zero parameter},
  author = {Takashi Nakamura},
  journal= {arXiv preprint arXiv:1006.3184},
  year   = {2010}
}

Comments

This paper has been withdrawn by the author. The proof has a gap. It is possible to avoid this, but then the proof becomes not simple. I feel most grateful that Professor Garunkstis told me the gap

R2 v1 2026-06-21T15:37:04.519Z