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Title: | Some special cases of the minimal polynomial of 2cos(pi/q) over q |
Authors: | Simos, T. E. Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. 0000-0002-0700-5774 0000-0002-0700-5774 Togan, Müge Özgür, Birsen Cangül, İsmail Naci ABA-6206-2020 J-3505-2017 ABI-4127-2020 54403978300 54403501400 57189022403 |
Keywords: | Mathematics Hecke groups Roots of unity Chebycheff polynomials Minimal polynomial |
Issue Date: | 2011 |
Publisher: | Amer Inst Pyhsics |
Citation: | Togan, M. vd. (2011). "Some special cases of the minimal polynomial of 2cos(pi/q) over q". ed. T. E. Simos. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, 1389, 375-377. |
Abstract: | The number lambda(q) - 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups of the first kind, and in the study of regular polyhedra. Here we obtained some results on the values of the minimal polynomial of this number in modulo prime p. This results help in the calculation of the congruence subgroups of the Hecke groups which is an important problem in discrete group theory. |
Description: | Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. |
URI: | https://doi.org/10.1063/1.3636740 https://aip.scitation.org/doi/10.1063/1.3636740 http://hdl.handle.net/11452/28865 |
ISSN: | 0094-243X |
Appears in Collections: | Scopus Web of Science |
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