13 citations · 23 across the 5 of their papers we have counts for
5 papers
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…
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…
A Type II lattice of norm 8 in dimension 72
Jean-Claude Belfiore, Patrick Solé
A Type II lattice of norm 8 in dimension 72 is obtained by Construction A applied to an extended Quadratic Residue code over Z8. Its automorphism group contains a subgroup isomorph…
On Bounded Weight Codes
Christine Bachoc, Venkat Chandar, Gerard Cohen +2
The maximum size of a binary code is studied as a function of its length N, minimum distance D, and minimum codeword weight W. This function B(N,D,W) is first characterized in term…
Pseudo-random Sequences Generated by Cellular Automata
Bruno Martin, Patrick Solé
Generation of pseudo random sequences by cellular automata, as well as by hybrid cellular automata is surveyed. An application to the fast evaluation and FPGA implementation of som…