Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/34451
Title: On conjectures of Sato-Tate and Bruinier-Kohnen
Authors: Arias, Reyna de Sara
Wiese, Gabor
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0001-5765-1718
Inam, Ilker
25925069700
Keywords: Mathematics
Half-integral weight modular forms
Shimura lift
Sato-Tate equidistribution
Fourier coefficients of modular forms
Density of sets of primes
Half-integral weight
Modular-forms
Fourier coefficients
Prime-numbers
Values
Issue Date: Apr-2015
Publisher: Springer
Citation: Arias-de-Reyna, S. vd. (2015). "On conjectures of Sato-Tate and Bruinier-Kohnen". Ramanujan Journal, 36(3), 455-481.
Abstract: 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.
URI: https://doi.org/10.1007/s11139-013-9547-2
https://link.springer.com/article/10.1007/s11139-013-9547-2
http://hdl.handle.net/11452/34451
ISSN: 1382-4090
Appears in Collections:Web of Science

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