All Magic of Math

  Patrick Solé and Michel Planat   Sometimes unlucky things could happen for better. Despite of my Riemann hypothesis proof passed the first scrutiny of one of the top math journal in number theory, it was rejected by the Editorial Board at the end. Something very similar happens in July 2021, where the same journal rejected my manuscript about the Riemann hypothesis, we improved/resubmitted to The Ramanujan Journal and it was finally published by Springer in May 2022: Robin’s criterion on divisibility (Published by The Ramanujan Journal) Consequently, I did the same this time (improved/resubmitted) to another prestigious journal. This is the ultimate manuscript based on Solé and Planat criterion and submitted in November, 2023 : Criterion for the Riemann Hypoth...

John Forbes Nash Jr.   NP on Logarithmic Space (Proof of the P versus NP problem)   In 1955, the well-known mathematician John Nash wrote to the United States National Security Agency about a problem that had major implications for security and scientific development. A short time later Gödel, one of the most important mathematical logicians, came to the same conclusion and wrote a letter to John von Neumann explaining about the same problem and its relation to computational and mathematical topics. John von Neumann had a successful career in this field at that time: unfortunately he promptly died of cancer and Gödel's letter was never answered. It took decades later for the American mathematicians Stephen Cook and Russian Leonid Levin could be able to independently introduce and formulate this problem during the "scientific race" of the Cold War. The problem was called P versus NP and it consisted of knowing whether computers were capable or not of solving pr...