ArticleOriginal scientific text
Title
Prime divisors of Lucas sequences
Authors 1, 2
Affiliations
- Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, 53225 Bonn, Germany
- Faculteit WINS, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
Keywords
Lucas sequence, Chebotarev density theorem
Bibliography
- C. Ballot, Density of prime divisors of linear recurrences, Mem. Amer. Math. Soc. 551 (1995).
- H. Hasse, Über die Dichte der Primzahlen p, für die eine vorgegebene ganzrationale Zahl a≠0 von gerader bzw. ungerader Ordnung mod p ist, Math. Ann. 166 (1966), 19-23.
- J. C. Lagarias, The set of primes dividing the Lucas numbers has density 2/3, Pacific J. Math. 118 (1985), 449-461; Errata: Pacific J. Math. 162 (1994), 393-397.
- P. Moree, On the prime density of Lucas sequences, J. Théor. Nombres Bordeaux 8 (1996), 449-459.
- P. Ribenboim, The New Book of Prime Number Records, Springer, New York, 1995.
- P. Stevenhagen, Prime densities for second order torsion sequences, preprint.
Pages:
403-410
Main language of publication
English
Received
1997-04-07
Accepted
1997-07-24
Published
1997
Exact and natural sciences