English

On the zeros of the Riemann zeta function

General Mathematics 2021-01-19 v9

Abstract

In 2008 I thought I found a proof of the Riemann Hypothesis, but there was an error. In the Spring 2020 I believed to have fixed the error, but it cannot be fixed. I describe here where the error was. It took me several days to find the error in a careful checking before a possible submission to a payable review offered by one leading journal. There were three simple lemmas and one simple theorem, all were correct, yet there was an error: what Lemma 2 proved was not exactly what Lemma 3 needed. So, it was the connection of the lemmas. This paper came out empty, but I have found a different proof of the Riemann Hypothesis and it seems so far correct. In the discussion at the end of this paper I raise a matter that I think is of importance to the review process in mathematics.

Keywords

Cite

@article{arxiv.0806.2361,
  title  = {On the zeros of the Riemann zeta function},
  author = {Jorma Jormakka},
  journal= {arXiv preprint arXiv:0806.2361},
  year   = {2021}
}

Comments

This is the finishing of the original paper from 2008. There was a fatal error and it cannot be fixed

R2 v1 2026-06-21T10:50:33.723Z