RIEMANN ZETA ZEROS AND PRIME NUMBER SPECTRA IN QUANTUM FIELD THEORY

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorMenezes, G.-
Autor(es): dc.creatorSvaiter, B. F.-
Autor(es): dc.creatorSvaiter, N. F.-
Data de aceite: dc.date.accessioned2021-03-10T21:21:25Z-
Data de disponibilização: dc.date.available2021-03-10T21:21:25Z-
Data de envio: dc.date.issued2014-12-03-
Data de envio: dc.date.issued2014-12-03-
Data de envio: dc.date.issued2013-10-20-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1142/S0217751X13501285-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/113061-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/113061-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)-
Descrição: dc.descriptionThe Riemann hypothesis states that all nontrivial zeros of the zeta function lie in the critical line Re(s) = 1/2. Hilbert and Polya suggested that one possible way to prove the Riemann hypothesis is to interpret the nontrivial zeros in the light of spectral theory. Using the construction of the so-called super-zeta functions or secondary zeta functions built over the Riemann nontrivial zeros and the regularity property of one of this function at the origin, we show that it is possible to extend the Hilbert-Polya conjecture to systems with countably infinite number of degrees of freedom. The sequence of the nontrivial zeros of the Riemann zeta function can be interpreted as the spectrum of a self-adjoint operator of some hypothetical system described by the functional approach to quantum field theory. However, if one considers the same situation with numerical sequences whose asymptotic distributions are not far away from the asymptotic distribution of prime numbers, the associated functional integral cannot be constructed. Finally, we discuss possible relations between the asymptotic behavior of a sequence and the analytic domain of the associated zeta function.-
Formato: dc.format16-
Idioma: dc.languageen-
Publicador: dc.publisherWorld Scientific Publ Co Pte Ltd-
Relação: dc.relationInternational Journal of Modern Physics A-
Relação: dc.relation1.291-
Direitos: dc.rightsclosedAccess-
Palavras-chave: dc.subjectNumber theory-
Palavras-chave: dc.subjectzeta regularization-
Palavras-chave: dc.subjectfield theory-
Título: dc.titleRIEMANN ZETA ZEROS AND PRIME NUMBER SPECTRA IN QUANTUM FIELD THEORY-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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