Reference : On conjectures of Sato-Tate and Bruinier-Kohnen
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11503
On conjectures of Sato-Tate and Bruinier-Kohnen
English
Arias De Reyna Dominguez, Sara mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Inam, Ilker [> >]
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
2015
Ramanujan Journal, The
36
3
455-481
Yes (verified by ORBilu)
International
1572-9303
[en] Mathematics - Number Theory ; 11F37 (primary) ; 11F30 ; 11F80 ; 11F11
[en] 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.
Researchers
http://hdl.handle.net/10993/11503
10.1007/s11139-013-9547-2

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