A lower bound for P ( x 4 + 1 )

Marina Mureddu

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

  • Volume: 8, Issue: 2, page 109-119
  • ISSN: 0240-2963

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Mureddu, Marina. "A lower bound for $P(x^4 +1)$." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.2 (1986-1987): 109-119. <http://eudml.org/doc/72606>.

@article{Mureddu1986-1987,
author = {Mureddu, Marina},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {greatest prime factor of integers; prime factors of ; prime factor of polynomials; Pell equations; algorithm},
language = {eng},
number = {2},
pages = {109-119},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A lower bound for $P(x^4 +1)$},
url = {http://eudml.org/doc/72606},
volume = {8},
year = {1986-1987},
}

TY - JOUR
AU - Mureddu, Marina
TI - A lower bound for $P(x^4 +1)$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1986-1987
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 2
SP - 109
EP - 119
LA - eng
KW - greatest prime factor of integers; prime factors of ; prime factor of polynomials; Pell equations; algorithm
UR - http://eudml.org/doc/72606
ER -

References

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  1. [1] Borevitch ( S.I.) and Schafarevitch ( I.R.).— Théorie des Nombres.- Paris, Gauthier-Villars, 1967. Zbl0145.04901MR205908
  2. [2] Cerlienco ( L.), Mignotte ( M.) and Piras ( F.). — Suites Récurrentes Linéaires. Strasbourg, Publication de l'I.R.M.A., 1984. 
  3. [3] Hardy ( G.H.) and Wright ( B.M.).— An Introduction of the Theory of Numbers. Oxford, Claredon Press, 1979. Zbl0423.10001MR568909
  4. [4] Mignotte ( M.).— P(x2 + 1) ≥ 17 si x ≥ 240. — C.R. Acad. Sc. t.301, series I, n°13, 1985. Zbl0591.10006MR817275
  5. [5] Lucas ( E.). - Théorie des Nombres. - Paris, Gauthier-Villars, 1891. JFM23.0174.02
  6. [6] Niven ( I.) and Zuckerman ( H.S.). — An Introduction to the Theory of Numbers. New York, John Wiley & Sons, 1960. Zbl0098.03602
  7. [7] Pethö ( A.) and De Weger ( B.M.M.).— Products of prime Powers in Binary Recurrences Sequences, Mathematical Institute University of Leiden. The Netherlands, Report n.24, September 1985; Report n.29, November 1985. 
  8. [8] Størmer ( C.).- Quelques Théorèmes sur l'équation de Pell x2 - Dy2 = ±1 et leurs applications,. — Vid.-Selsk. Skrifter. Math. Naturv. K1, 1897. JFM28.0192.02

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