Une suite récurrente remarquable

Marcel Duboué

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1977-1978)

  • Volume: 19, Issue: 2, page 1-12

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Duboué, Marcel. "Une suite récurrente remarquable." Séminaire Delange-Pisot-Poitou. Théorie des nombres 19.2 (1977-1978): 1-12. <http://eudml.org/doc/111014>.

@article{Duboué1977-1978,
author = {Duboué, Marcel},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {monic polynomial; recursive sequence; discriminant},
language = {fre},
number = {2},
pages = {1-12},
publisher = {Secrétariat mathématique},
title = {Une suite récurrente remarquable},
url = {http://eudml.org/doc/111014},
volume = {19},
year = {1977-1978},
}

TY - JOUR
AU - Duboué, Marcel
TI - Une suite récurrente remarquable
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1977-1978
PB - Secrétariat mathématique
VL - 19
IS - 2
SP - 1
EP - 12
LA - fre
KW - monic polynomial; recursive sequence; discriminant
UR - http://eudml.org/doc/111014
ER -

References

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  1. [1] Backstrom ( R.P.). - On the determination of the zeros of the Fibonacci sequence, Fibonacci Quart., t. 4, 1966, p. 313-322. Zbl0151.02405MR205909
  2. [2] Berwick ( W.E.H.). - Integral bases. - Cambridge, Cambridge University Press, 1927 (Cambridge Tracts in Mathematics and mathematical Physics, 22). JFM53.0142.01
  3. [3] Carmichaël ( R.D.). - A simple principle of unification in the elementary theory of numbers, Amer. math. Monthly, t. 36, 1929, p. 132-143. Zbl55.0685.05MR1521682JFM55.0685.05
  4. [4] Delone ( B.N.), Fadeev ( D.K.). - The theory of irrationalities of the third degree. - Providence, American mathematical Society, 1964 (translation of mathematical Monographs, 10). Zbl0133.30202MR160744
  5. [5] Dickson ( L.E.). - History of the theory of numbers. - New York, Chelsea Publishing Company, 1966. 
  6. [6] Horadam ( A.F.). - Basic properties of a certain generalized sequence of numbers, Fibonacci Quart., t. 3, 1965, p. 161-176. Zbl0131.04103MR186615
  7. [7] Jarden ( D.). - Recurring sequences. - Jerusalem, Riveon Lematematika, 1958. 
  8. [8] Lucas ( E.). - Théorie des nombres. Nouveau tirage. - Paris, A. Blanchard, 1961, Zbl0464.10001MR123503
  9. [9] Raney ( G.N.). - Generalization of the Fibonacci sequence to n dimensions, Canad. J. Math., t. 18, 1966, p. 332-349. Zbl0151.02406MR191869
  10. [10] Ward ( M.). - Prime divisors of second order recurrences, Duke math. J., t. 21, 1954, p. 607-614. Zbl0058.03701MR64073
  11. [11] Ward ( M.). - Prime divisors of Fibonacci numbers, Pacific J. Math., t. 11, 1961, p. 379-386. Zbl0112.26904MR138586
  12. [12] Wyler ( O.). - On second order recurrences, Amer. math. Monthly, t. 72, 1965, p. 500-506. Zbl0151.02503MR215806

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