Sur les diviseurs premiers des suites récurrentes linéaires

Jean-Paul Bézivin

Annales de la Faculté des sciences de Toulouse : Mathématiques (1986-1987)

  • Volume: 8, Issue: 1, page 61-73
  • ISSN: 0240-2963

How to cite

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Bézivin, Jean-Paul. "Sur les diviseurs premiers des suites récurrentes linéaires." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.1 (1986-1987): 61-73. <http://eudml.org/doc/73184>.

@article{Bézivin1986-1987,
author = {Bézivin, Jean-Paul},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {lower bounds; linear recurrent sequences; binary sequences; asymptotic formula; number of prime divisors; greatest prime factor; Fourier coefficient; cusp form of weight 12},
language = {fre},
number = {1},
pages = {61-73},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Sur les diviseurs premiers des suites récurrentes linéaires},
url = {http://eudml.org/doc/73184},
volume = {8},
year = {1986-1987},
}

TY - JOUR
AU - Bézivin, Jean-Paul
TI - Sur les diviseurs premiers des suites récurrentes linéaires
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1986-1987
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 1
SP - 61
EP - 73
LA - fre
KW - lower bounds; linear recurrent sequences; binary sequences; asymptotic formula; number of prime divisors; greatest prime factor; Fourier coefficient; cusp form of weight 12
UR - http://eudml.org/doc/73184
ER -

References

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  1. [1] Lagarias ( J.C.).- The set of prime dividing the Lucas numbers has density 2/3, Pacific Journal of Maths, t. 118, n°2, 1985, p. 449-461. Zbl0569.10003MR789184
  2. [2] Lewis ( D.J.) and Montgomery ( H.L.).- On zeros of p-adic forms, Michigan Math. Journal, t. 30, 1983, p. 83-87. Zbl0531.10026MR694931
  3. [3] Polya ( G.).- Arithmetische Eigenschaften der Reihenentwichlungen rationaler Funktionen, J. Reine Angew. Math., t. 151, 1921, p. 1-31. JFM47.0276.02
  4. [4] Shparlinskii ( I.E.).— On prime divisors of recursive sequences, Izv. Vyssk. Uchebn. Zaved. Math (4), t. 215, 1980, p. 101-103. Zbl0437.10003MR2004674
  5. [5] Stephens ( P.J.).- Prime divisors of second order linear recurrences, I et II, J. Number Theory, t. 8, 1976, p. 313-345. Zbl0334.10018MR417081
  6. [6] Stewart ( C.L.).- On the Greatest prime factor of terms of a linear recurrence sequence, Rocky Mountain J. of Maths., t. 15, n°2, 1985, p. 599-608. Zbl0583.10006MR823271
  7. [7] Stewart ( C.L.).- On divisors of terms of linear recurrent sequences, J. Reine angew Math., t. 333, 1982, p. 12-31. Zbl0475.10009MR660783

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