On the primitive divisors of the recurrent sequence $$u_{n+1}=(4\rm{cos}^2(2\pi/7)-1)\it{u}_{n}-u_{n-\rm{1}}$$ u n + 1 = ( 4 c o s 2 ( 2 π / 7 ) − 1 ) u n − u n − 1 with applications to group theory-Reference-Cited by-同舟云学术

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On the primitive divisors of the recurrent sequence $$u_{n+1}=(4\rm{cos}^2(2\pi/7)-1)\it{u}_{n}-u_{n-\rm{1}}$$ u n + 1 = ( 4 c o s 2 ( 2 π / 7 ) − 1 ) u n − u n − 1 with applications to group theory

Published:2018-09-05 Issue:11 Volume:61 Page:2101-2110
ISSN:1674-7283
Container-title:Science China Mathematics
language:en
Short-container-title:Sci. China Math.

Author:

Vsemirnov Maxim

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s11425-017-9347-3/fulltext.html

Reference33 articles.

1. Bilu Y, Hanrot G, Voutier P M. Existence of primitive divisors of Lucas and Lehmer numbers: With an appendix by M. Mignotte. J Reine Angew Math, 2001, 539: 75–122

2. Birkhoff G D, Vandiver H S. On the integral divisors of a n - b n. Ann of Math (2), 1904, 5: 173–180

3. Borevich Z I, Shafarevich I R. Number Theory. London: Academic Press, 1966

4. Bosma W, Cannon J, Playoust C. The Magma algebra system, I: The user language. J Symbolic Comput, 1997, 24: 235–265

5. Burnside W. Note on the simple group of order 504. Math Ann, 1889, 52: 174–176

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1. Preface;Science China Mathematics;2018-09-13

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