On Solé and Planat Criterion for the Riemann Hypothesis

EasyChair Preprint 10519, version history

Version	Date	Pages	Version notes
1	July 8, 2023	9
2	July 10, 2023	9	I've made minor changes to my new submission
3	July 17, 2023	8	We improved the Theorem 6.1
4	July 23, 2023	8	We provided stronger arguments to the last theorem and changed the abstract.
5	August 6, 2023	8	We remove the conclusions section and improved last theorem.
6	August 7, 2023	8	I improved the last hint in proof of last theorem.
7	August 15, 2023	6	We simplify the paper
8	August 17, 2023	6	We improved some details
9	August 18, 2023	6	We made the final proof easier to understand.
10	August 19, 2023	6	We complete the proof
11	August 20, 2023	5	We finally created a simple and elegant proof for the Riemann hypothesis using the Sole and Planat criterion.
12	August 21, 2023	5	We replace "R(N_{i})" by "R(N_{n_{i}})" in the page 4
13	August 25, 2023	6	Final version at MICOPAM 2023
14	August 30, 2023	6	Last update at MICOPAM 2023 conference.
15	September 20, 2023	10	We improved the paper and changed the abstract.
16	September 21, 2023	10	We improved the last theorem
17	September 22, 2023	6	I used the de la Vallee-Poussin and Edmund Landau bound errors on Chebyshev function and Mertens' Theorem.
18	September 23, 2023	6	I have missed a big-O notation in an expression
19	September 25, 2023	6	I decided to keep the version which was accepted by the MICOPAM 2023 conference.

Keyphrases: Chebyshev function, Riemann hypothesis, Riemann zeta function, prime numbers

BibTeX entry

BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:

@booklet{EasyChair:10519,
  author    = {Frank Vega},
  title     = {On Solé and Planat Criterion for the Riemann Hypothesis},
  howpublished = {EasyChair Preprint 10519},
  year      = {EasyChair, 2023}}