Artículos de revistas
A lattice gas of prime numbers and the Riemann Hypothesis
Fecha
2013-10Registro en:
Vericat, Fernando; A lattice gas of prime numbers and the Riemann Hypothesis; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 392; 19; 10-2013; 4516-4522
0378-4371
CONICET Digital
CONICET
Autor
Vericat, Fernando
Resumen
In recent years, there has been some interest in applying ideas and methods taken from Physics in order to approach several challenging mathematical problems, particularly the Riemann Hypothesis. Most of these kinds of contributions are suggested by some quantum statistical physics problems or by questions originated in chaos theory. In this article, we show that the real part of the non-trivial zeros of the Riemann zeta function extremizes the grand potential corresponding to a simple model of one-dimensional classical lattice gas, the critical point being located at 1/2 as the Riemann Hypothesis claims.