Artículo
On conjectures of Sato-Tate and Bruinier-Kohnen
Autor/es | Arias de Reyna Domínguez, Sara
Inam, Ilker Wiese, Gabor |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2015-04 |
Fecha de depósito | 2016-10-13 |
Publicado en |
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Resumen | This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and related subsets of the set of natural numbers. (2) It extends previous results on a conjecture of ... This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and related subsets of the set of natural numbers. (2) It extends previous results on a conjecture of Bruinier and Kohnen in three ways: the CM-case is included; under the assumption of the same error term as in previous work one obtains the result in terms of natural density instead of Dedekind-Dirichlet density; the latter type of density can already be achieved by an error term like in the prime number theorem. (3) It also provides a complete proof of Sato-Tate equidistribution for CM modular forms with an error term similar to that in the prime number theorem. |
Identificador del proyecto | UAP(F) 2012/15
1489 info:eu-repo/grantAgreement/MINECO/MTM2012-33830 |
Cita | Arias de Reyna Domínguez, S., Inam, I. y Wiese, G. (2015). On conjectures of Sato-Tate and Bruinier-Kohnen. The Ramanujan Journal, 36 (3), 455-481. |
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