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Pair correlation and twin primes revisited

We establish a connection between the conjectural two-over-two ratios formula for the Riemann zeta-function and a conjecture concerning correlations of a certain arithmetic function. Specifically, we prove that the ratios conjecture and the arithmetic correlations conjecture imply the same result. T...

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Detalles Bibliográficos
Autores principales: Conrey, Brian, Keating, Jonathan P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5095450/
https://www.ncbi.nlm.nih.gov/pubmed/27843409
http://dx.doi.org/10.1098/rspa.2016.0548