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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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