45 citations · 257 across the 23 of their papers we have counts for
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math.NT2010★ 1 cited
On Nicolas criterion for the Riemann Hypothesis
Youngju Choie, Michel Planat, Patrick Solé
Nicolas criterion for the Riemann Hypothesis is based on an inequality that Euler totient function must satisfy at primorial numbers. A natural approach to derive this inequality w…
math-ph2010★ 9 cited
Riemann hypothesis and Quantum Mechanics
Michel Planat, Patrick Solé, Sami Omar
In their 1995 paper, Jean-Benoît Bost and Alain Connes (BC) constructed a quantum dynamical system whose partition function is the Riemann zeta function , where is an inv…
math.GM2010★ 5 cited
Riemann hypothesis from the Dedekind psi function
Michel Planat
Let be the set of all primes and be the Dedekind psi function. We show that the Riemann hypothesis is satisfied if and onl…