Facteurs premiers d'entiers en progression arithmétique

Michel Langevin

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

  • Volume: 19, Issue: 1, page 1-7

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Langevin, Michel. "Facteurs premiers d'entiers en progression arithmétique." Séminaire Delange-Pisot-Poitou. Théorie des nombres 19.1 (1977-1978): 1-7. <http://eudml.org/doc/110995>.

@article{Langevin1977-1978,
author = {Langevin, Michel},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {linear forms of logarithm; Grimm's conjecture; Baker's theory; prime factors of consecutive integers; arithmetic progression},
language = {fre},
number = {1},
pages = {1-7},
publisher = {Secrétariat mathématique},
title = {Facteurs premiers d'entiers en progression arithmétique},
url = {http://eudml.org/doc/110995},
volume = {19},
year = {1977-1978},
}

TY - JOUR
AU - Langevin, Michel
TI - Facteurs premiers d'entiers en progression arithmétique
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1977-1978
PB - Secrétariat mathématique
VL - 19
IS - 1
SP - 1
EP - 7
LA - fre
KW - linear forms of logarithm; Grimm's conjecture; Baker's theory; prime factors of consecutive integers; arithmetic progression
UR - http://eudml.org/doc/110995
ER -

References

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  1. [1] Bourbaki ( N.). - Théorie des ensembles. Nouvelle édition. - Paris, Hermann, 1970 (Elements de Mathématique). Zbl0282.04001MR276101
  2. [2] Grimm ( C.A.). - A conjecture on consecutive composite numbers, Amer. math. Monthly, t. 76, 1969, p. 1126-1128. Zbl0197.32001MR260668
  3. [3] Jutila ( M.). - On numbers with a large prime factor, II, J. Indian math. Soc., t. 38, 1974, p. 125-130. Zbl0335.10045MR399013
  4. [4] Langevin ( M.). - Quelques applications de nouveaux résultats de Van der Poorten, Séminaire Delange-Pisot-Poitou : Théorie des nombres, 17e année, 1975/76, n° G12, 11 p. Zbl0354.10008MR498426
  5. [5] Langevin ( M.). - Plus grand facteur premier d'entiers en progression arithmétique, Séminaire Delange-Pisot-Poitou : Théorie des nombres, 18e année, 1976/77, n° 3, 7 p. Zbl0373.10006
  6. [6] Mignotte ( M.). - Sur les facteurs premiers distincts d' entiers consécutifs, Séminaire Delange-Pisot-Poitou : Théorie des nombres, 16e année, 1974/75, n° G5, 6 p. Zbl0326.10039MR404168
  7. [7] Ramachandra ( K.), Shorey ( T.N.) and Tijdeman ( R.). - On Grimm's problem relating to factorisation of a block of consecutive integers, I, J. fUr die reine und angew. Math., t. 273, 1975, p. 109-124. Zbl0297.10031MR364129
  8. [8] Ramachandra ( K.), Shorey ( T.N.) and Tijdeman ( R.). - On Grimm's problem relating to factorisation of a block of consecutive integers, II, J. für die reine und angew. Math., t. 288, 1976, p. 192-201. Zbl0333.10028MR427252
  9. [9] Ramachandra ( K.) and Shorey ( T.N.). - On gaps between numbers with a large prime factor, Acta Arithm., Warszawa, t. 24, 1973, p. 99-111. Zbl0258.10022MR327684
  10. [10] Rosser ( B.) and Schoenfeld ( L.). - Approximate formulas for some functions of prime numbers, Illinois J. Math., t. 6, 1962, p. 64-94. Zbl0122.05001MR137689
  11. [11] Shorey ( T.N.). - Linear forms in the logarithms of algebraic numbers with small coefficients, II, J. Indian math. Soc., t. 38, 1974, p. 285-292. Zbl0349.10028MR399005
  12. [12] Shorey ( T.N.). - On gaps between numbers with a large prime factor, II, Acta Arithm., Warszawa, t. 25, 1974, p. 365-373. Zbl0258.10023MR344201
  13. [13] Shorey ( T.N.). - On linear forms in the logarithms of algebraic numbers, Acta Arithm., Warszawa, t. 25, 1974, p. 27-42. Zbl0289.10023MR412117
  14. [14] Shorey ( T.N.) and Tijdeman ( R.). - On the greatest prime factors of polynomials at integer points, Compositio Math., Groningen, t. 33, 1976, p. 187-195. Zbl0338.10040MR424681
  15. [15] Waldschmidt ( M.). - A lower bound for linear forms in logarithms (à paraître). Zbl0357.10017

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