A lattice gas of prime numbers and the Riemann Hypothesis

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 qu...

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Autor principal: Vericat, Fernando
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Lattice gas
Prime numbers
Variational principle
Riemann hypothesis
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100077
https://ri.conicet.gov.ar/11336/23537
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-100077
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Lattice gas
Prime numbers
Variational principle
Riemann hypothesis
spellingShingle Física
Lattice gas
Prime numbers
Variational principle
Riemann hypothesis
Vericat, Fernando
A lattice gas of prime numbers and the Riemann Hypothesis
topic_facet Física
Lattice gas
Prime numbers
Variational principle
Riemann hypothesis
description 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.
format Articulo
Preprint
author Vericat, Fernando
author_facet Vericat, Fernando
author_sort Vericat, Fernando
title A lattice gas of prime numbers and the Riemann Hypothesis
title_short A lattice gas of prime numbers and the Riemann Hypothesis
title_full A lattice gas of prime numbers and the Riemann Hypothesis
title_fullStr A lattice gas of prime numbers and the Riemann Hypothesis
title_full_unstemmed A lattice gas of prime numbers and the Riemann Hypothesis
title_sort lattice gas of prime numbers and the riemann hypothesis
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/100077
https://ri.conicet.gov.ar/11336/23537
work_keys_str_mv AT vericatfernando alatticegasofprimenumbersandtheriemannhypothesis
AT vericatfernando latticegasofprimenumbersandtheriemannhypothesis
bdutipo_str Repositorios
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