Fonction Γ p -adique associée à un caractère de Dirichlet

Yvette Amice

Groupe de travail d'analyse ultramétrique (1979-1981)

  • Volume: 7-8, page 1-11

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Amice, Yvette. "Fonction $\Gamma \, p$-adique associée à un caractère de Dirichlet." Groupe de travail d'analyse ultramétrique 7-8 (1979-1981): 1-11. <http://eudml.org/doc/91862>.

@article{Amice1979-1981,
author = {Amice, Yvette},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {p-adic gamma functions; Dirichlet character; functional equations; convolution of p-adic functions; continuation of Gauss sums},
language = {fre},
pages = {1-11},
publisher = {Secrétariat mathématique},
title = {Fonction $\Gamma \, p$-adique associée à un caractère de Dirichlet},
url = {http://eudml.org/doc/91862},
volume = {7-8},
year = {1979-1981},
}

TY - JOUR
AU - Amice, Yvette
TI - Fonction $\Gamma \, p$-adique associée à un caractère de Dirichlet
JO - Groupe de travail d'analyse ultramétrique
PY - 1979-1981
PB - Secrétariat mathématique
VL - 7-8
SP - 1
EP - 11
LA - fre
KW - p-adic gamma functions; Dirichlet character; functional equations; convolution of p-adic functions; continuation of Gauss sums
UR - http://eudml.org/doc/91862
ER -

References

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  1. [1] Amice ( Yvette) et Fresnel ( J.). - Fonctions zeta p-adîques des corps totalement réels, Acta Arithm., t. 20, 1972, p. 353-384. Zbl0217.04303MR337898
  2. [2] Amice ( Y.) et Velu( J.). - Distributions p-adiques associées aux séries de Hecke, "Journées arithmétiques" [1974 - Bordeaux], Astérisque n° 24-25, 1975, p. 119-131. Zbl0332.14010MR376534
  3. [3] Barsky ( D.). - On Morita's p-adic gamma functions, Math. Proc. Cambridge phil. Soc., t. 89, 1981, p. 23-27. Zbl0455.12012MR591968
  4. [4] Boyarsky ( M.). - p-adic gamma functions and Dwork cohomology, Trans. Amer. math. Soc., t. 257, 1980, p. 359-369. Zbl0475.14017MR552263
  5. [5] Diamond ( J. ) . - The p-adic log gamma function and p-adic Euler constants, Trans. Amer. math. Soc., t. 233, 1977, p. 321-337. Zbl0382.12008MR498503
  6. [6] Diamond ( J.). - On the values of p-adic L-functions at positive integers, Acta Aritrun., t. 35, 1979, p. 223-237. Zbl0463.12007MR550294
  7. [7] Gross ( B.H.) and Koblitz ( N.). - Gauss sums and the p-adic gamma-function, Annals of Math., série 2, t. 109, 1979, p. 569-581. Zbl0406.12010MR534763
  8. [8] Koblitz ( Neal). - Interpretation of the p-adic log gamma function and Euler constants using the Bernoulli measure, Trans. Amer. math. Soc., t. 242, 1978, p. 261-269. Zbl0358.12010MR491622
  9. [9] Koblitz ( N.). - A new proof of certain formulas for p-adic L-functions, Duke math. J., t. 46, 1979, p. 455-468. Zbl0409.12028MR534062
  10. [10] Morita ( Yasuo). - A p-adic analogue of the Γ-function, J. of Fac. of Sc., Univ. of Tokyo, t. 22, 1975, p. 255-266. Zbl0308.12003

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