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On Zsigmondy primes
Author(s):
Moshe
Roitman
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1913-1919.
MSC (1991):
Primary 11A41
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Abstract:
We present simple proofs of Walter Feit's results on large Zsigmondy primes.
References:
- 1.
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- 2.
- W. Feit, On large Zsigmondy primes, Proc. Amer. Math. Soc. 102 (1988), 29-36. MR 89b:11009
- 3.
- W. Feit, Extensions of cuspidal characters of
, Publ. Math. Debrecen 34 (1987), 273-297. MR 89d:20007 - 4.
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- 5.
- H. Lüneburg, Ein einfacher Beweis für den Satz von Zsigmondy über primitive Primteiler von
, in Geometries and Groups, (edited by M. Aigner and D. Jungnickel), Lect. Notes in Math. 983, 219-222, Springer Verlag, New York, 1981. MR 84d:10006 - 6.
- P. Ribenboim, Catalan's conjecture, Academic Press, New York, 1994.
- 7.
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- 8.
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, Acta Arith. , 26 (1975), 427-433. MR 53:2844 - 9.
- C.L. Stewart, Primitive divisors of Lucas and Lehmer numbers, in Transcendence Theory: Advances and Applications, pp. 79-92, Academic Press, New York, 1977. MR 57:16187
- 10.
- T.N. Shorey and C. L. Stewart, On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers, Proc. London Math. Soc. 35 (1977), 425-447.
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- A.H. Wedderburn, A theorem on finite algebras, Trans. Amer. Math. Soc. 6 (1905), 349-352.
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Additional Information:
Moshe
Roitman
Affiliation:
Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
Email:
mroitman@mathcs2.haifa.ac.il
DOI:
10.1090/S0002-9939-97-03981-6
PII:
S 0002-9939(97)03981-6
Received by editor(s):
December 19, 1995
Additional Notes:
I thank Yakov Berkovich for suggesting this subject and for useful discussions concerning it.
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1997,
American Mathematical Society
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