On Solé and Planat Criterion for the Riemann HypothesisEasyChair Preprint no. 10519, version historyVersion  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 ValleePoussin and Edmund Landau bound errors on Chebyshev function and Mertens' Theorem.  18  September 23, 2023  6  I have missed a bigO 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, prime numbers, Riemann hypothesis, Riemann zeta function 
