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dc.date.accessioned 2020-07-07T12:39:26Z
dc.date.available 2020-07-07T12:39:26Z
dc.date.issued 2013-10
dc.identifier.uri http://sedici.unlp.edu.ar/handle/10915/100077
dc.description.abstract 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. en
dc.format.extent 4516-4522 es
dc.language en es
dc.subject Lattice gas es
dc.subject Prime numbers es
dc.subject Variational principle es
dc.subject Riemann hypothesis es
dc.title A lattice gas of prime numbers and the Riemann Hypothesis en
dc.type Articulo es
sedici.identifier.uri https://ri.conicet.gov.ar/11336/23537 es
sedici.identifier.other http://dx.doi.org/10.1016/j.physa.2013.05.049 es
sedici.identifier.other hdl:11336/23537 es
sedici.identifier.issn 0378-4371 es
sedici.creator.person Vericat, Fernando es
sedici.subject.materias Física es
sedici.description.fulltext true es
mods.originInfo.place Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería es
sedici.subtype Preprint es
sedici.rights.license Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
sedici.rights.uri http://creativecommons.org/licenses/by-nc-sa/4.0/
sedici.description.peerReview peer-review es
sedici.relation.journalTitle Physica A: Statistical Mechanics and its Applications es
sedici.relation.journalVolumeAndIssue vol. 392, no. 19 es


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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) Excepto donde se diga explícitamente, este item se publica bajo la siguiente licencia Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)