Le théorème des accroissements finis p -adique

Alain Robert

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 245-258
  • ISSN: 1259-1734

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Robert, Alain. "Le théorème des accroissements finis $p$-adique." Annales mathématiques Blaise Pascal 2.1 (1995): 245-258. <http://eudml.org/doc/79120>.

@article{Robert1995,
author = {Robert, Alain},
journal = {Annales mathématiques Blaise Pascal},
keywords = {-adic calculus; mean-value theorem; Kummer and von Staudt congruences; Bernoulli numbers; binomial congruences; fixed point theorem; Rolle theorem},
language = {fre},
number = {1},
pages = {245-258},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Le théorème des accroissements finis $p$-adique},
url = {http://eudml.org/doc/79120},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Robert, Alain
TI - Le théorème des accroissements finis $p$-adique
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 245
EP - 258
LA - fre
KW - -adic calculus; mean-value theorem; Kummer and von Staudt congruences; Bernoulli numbers; binomial congruences; fixed point theorem; Rolle theorem
UR - http://eudml.org/doc/79120
ER -

References

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  1. [1] Dieudonné J.. : Sur les fonctions analytiques p-adiques, Bulletin des Sc. Math.2e série t. 58 (mai-Juin 1944) p. 79-95[Chois d'oeuvres mathématiques, Hermann1981, vol. 1, p. 177-192]. Zbl0060.08204MR13142
  2. [2] Girstmair K. : A Theorem on the Numerators of the Bernoulli Numbers, The American Math. Monthly vol. 97, nb. 2, 1990 pp. 136-138. Zbl0738.11023MR1041890
  3. [3] Robert A. : A Note on the Numerators of the Bernoulli Numbers, Expositiones Math.9 (1991), pp. 189-191. Zbl0738.11024MR1101952
  4. [4] Weil A. : Basic Number Theory. Springer Verlag (1967). Zbl0176.33601MR234930
  5. [5] Zuber M. : Propriétés p-adiques de polynômes classiques, Thèse1992. Inst. de Mathématiques. CH-2007Neuchâtel. 

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