Skip to main content

Un rapport sur de recents travaux en theorie analytique des nombres

  • 893 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1068)

Keywords

  • London Math
  • Prime Divisor
  • Acta Arith
  • Recursif Tres
  • Nous Donnons

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. Bovey, J.D., On the size of prime factors of integers, Acta Arith. 33 (1977), 65–80.

    MathSciNet  MATH  Google Scholar 

  2. Deshouillers, J.-M., Dress, F., Tenenbaum, G., Lois de répartition des diviseurs, 1, Acta Arith. 34 (1979), 273–285.

    MathSciNet  MATH  Google Scholar 

  3. Dupain, Y., Hall, R.R., Tenenbaum, G., Sur l’équirépartition modulo l de certaines fonctions de diviseurs, J. London Math. Soc. (2) 26 (1982), 397–411.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Erdös, P., On the distribution function of additive functions, Ann. of Math. 47 (1946), 1–20.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Erdös, P., On the density of some sequences of integers, Bull. Amer. Math. Soc. 54 (1948), 685–692.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Erdös, P., Some remarks on prime factors of integers, Canadian J. Math. 11 (1959), 161–167.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Erdös, P., On the distribution of prime divisors, Aequationes Math. 2 (1969), 177–183.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Erdös, P., Hall, R.R., Some distribution problems concerning the divisors of integers, Acta Arith. 26 (1974), 175–188.

    MathSciNet  MATH  Google Scholar 

  9. Erdös, P., Hall, R.R., The propinquity of divisors, Bull. London Math. Soc. 11 (1979), 304–307.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Erdös, P., Nicolas, J.-L., Méthodes probabilistes et combinatoires en théorie des nombres, Bull. Sc. Math. (2° série), 100 (1976), 301–320.

    Google Scholar 

  11. Erdös, P., Nicolas, J.-L., Propriétés probabilistes des diviseurs d’un nombre, Astérisque 41–42 (1977), 203–214.

    Google Scholar 

  12. Erdös, P., Tenenbaum, G., Sur la structure de la suite des diviseurs d’un entier, Ann. Inst. Fourier 31 (1981), 17–37.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Erdös, P., Tenenbaum, G., Sur les diviseurs consécutifs d’un entier, Bull. Soc. Math. de France 111, fasc. 2 (1983), à paraître.

    Google Scholar 

  14. Friedlander, J.B., Integers free from large and small primes, Proc. London Math. Soc. (3) 33 (1976), 565–576.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Galambos, J., The sequences of prime divisors of integers, Acta Arith. 31 (1976), 213–218.

    MathSciNet  MATH  Google Scholar 

  16. Hall, R.R., The divisors of integers I, Acta Arith. 26 (1974), 41–46.

    MathSciNet  MATH  Google Scholar 

  17. Hall, R.R., Sums of imaginary powers of the divisors of integers, J. London Math. Soc. (2) 9 (1975), 571–580.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. Hall, R.R., The distribution of f(d) (mod 1), Acta Arith. 31 (1976), 91–97.

    MathSciNet  MATH  Google Scholar 

  19. Hall, R.R., A new definition of the density of an integer sequence, J. Austral. Math. Soc. Ser. A, 26 (1978), 487–500.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. Hall, R.R., The divisor density of integers sequences, J. London Math. Soc. (2) 24 (1981), 41–53.

    CrossRef  MathSciNet  MATH  Google Scholar 

  21. Hall, R.R., Tenenbaum, G., On the average and normal orders of Hooley’s Δ-function, J. London Math. Soc. (2) 25 (1982), 392–406.

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. Hall, R.R., Tenenbaum, G., Les ensembles de multiples et la densité divisorielle, Ann. of Math., à paraître.

    Google Scholar 

  23. Hall, R.R., Tenenbaum, G., The average orders of Hooley’s Δr-functions, soumis à Mathematika.

    Google Scholar 

  24. Hardy, G.H., Ramanujan, S., The normal number of prime factors of a number n, Quart. J. Math. 48 (1917), 76–92.

    MATH  Google Scholar 

  25. Hooley, C., On a new technique and its application to the theory of numbers, Proc. London Math. Soc. (3) 38 (1979), 115–151.

    CrossRef  MathSciNet  MATH  Google Scholar 

  26. Kátai, I., Distributions (mod 1) of additive functions on the set of divisors, Acta Arith. 30 (1976), 209–212.

    MathSciNet  MATH  Google Scholar 

  27. Kátai, I., The distribution of additive functions on the set of divisors, Publicationes Math. 24 (1–2) (1977), 91–96.

    MathSciNet  MATH  Google Scholar 

  28. Maier, H., Tenenbaum, G., On the set of divisors of an integer, soumis à Inventiones Math.

    Google Scholar 

  29. Tenenbaum, G., Sur une technique en théorie analytique des nombres, Sém. Théorie des Nombres, Bordeaux (1979/80).

    Google Scholar 

  30. Tenenbaum, G., Lois de répartition des diviseurs, 2, Acta Arith. 38 (1980), 1–36.

    MathSciNet  MATH  Google Scholar 

  31. Tenenbaum, G., Sur la probabilité qu’un entier possède un diviseur dans un intervalle donné, Sém. Théorie des Nombres, Bordeaux (1981/82).

    Google Scholar 

  32. Tenenbaum, G., Sur la densité divisorielle d’une suite d’entiers, J. Number Theory 15 (1982), 331–346.

    CrossRef  MathSciNet  MATH  Google Scholar 

  33. Tenenbaum, G., Sur la probabilité qu’un entier possède un diviseur dans un intervalle donné, Compositio Math. (1983), à paraître.

    Google Scholar 

  34. Vose, M.D., Limit theorems for sequences of divisor distributions, Ph. D., Austin at Texas (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Tenenbaum, G. (1984). Un rapport sur de recents travaux en theorie analytique des nombres. In: Jager, H. (eds) Number Theory Noordwijkerhout 1983. Lecture Notes in Mathematics, vol 1068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099456

Download citation

  • DOI: https://doi.org/10.1007/BFb0099456

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13356-8

  • Online ISBN: 978-3-540-38906-4

  • eBook Packages: Springer Book Archive