A note on the p -adic gamma function

Bernard Dwork

Groupe de travail d'analyse ultramétrique (1981-1982)

  • Volume: 9, Issue: 3, page J1-J10

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Dwork, Bernard. "A note on the $p$-adic gamma function." Groupe de travail d'analyse ultramétrique 9.3 (1981-1982): J1-J10. <http://eudml.org/doc/91897>.

@article{Dwork1981-1982,
author = {Dwork, Bernard},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {Morita p-adic gamma function; Dwork cohomology; p-adic analysis},
language = {eng},
number = {3},
pages = {J1-J10},
publisher = {Secrétariat mathématique},
title = {A note on the $p$-adic gamma function},
url = {http://eudml.org/doc/91897},
volume = {9},
year = {1981-1982},
}

TY - JOUR
AU - Dwork, Bernard
TI - A note on the $p$-adic gamma function
JO - Groupe de travail d'analyse ultramétrique
PY - 1981-1982
PB - Secrétariat mathématique
VL - 9
IS - 3
SP - J1
EP - J10
LA - eng
KW - Morita p-adic gamma function; Dwork cohomology; p-adic analysis
UR - http://eudml.org/doc/91897
ER -

References

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  1. [Am 1] Amice ( Y.). - Interpolation p-adique, Bull. Soc. math. France, t. 92, 1964, p. 117-180 Zbl0158.30201MR188199
  2. [Am 2] Amice ( Y.). - Fonction Γ p-adiques associée à un caractère de Dirichlet, Groupe d'étude d'Analyse ultramétrique, 7e et 3e années, 1979-1981, n° 17, 11 p. Zbl0474.12016
  3. [Ba] Barsky ( D.). - On Morita's p-adic gamma function, Math. Proc. Camb. phil. Soc., t. 89, fasc. 1, 1981, p. 23-27. Zbl0455.12012MR591968
  4. [Boy] Boyarsky ( M.). - p-adic gamna function and Dwork cohomology, Trans. Amer. math. Soc., t. 257, 1980, p. 359-359. Zbl0475.14017MR552263
  5. [Di] 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. [Dw 1] Dwork ( B.). - Zeta function of a hypersurface. - Paris, Presses universitaires de France, 1962 (Institut des hautes Etudes scientifiques. Publications mathématiques, 12, p. 5-68). Zbl0173.48601MR159823
  7. [Dw 2] Dwork ( B. ) . - Lectures on p-adic differential equations. - Berlin, Springer-Verlag (Grundlehren, 253) (to appear). Zbl0502.12021MR678093
  8. [Dw 3] Dwork ( B.). - On the Boyarsky principle, Amer. J. of Math. (to appear) . Zbl0517.12012MR692108
  9. [Ko] Koblitz ( N.). - Interpolation 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
  10. [La] Lang ( S.). - Cyclotomic fields, II. - Berlin, Heidelberg, New York, Springer-Verlag, 1980 (Graduate Texts in Mathematics, 69). Zbl0435.12001MR566952
  11. [M] Morita ( Y.). - A p-adic analogue of the Γ-function, J. of Fac. of Sc., Univ Tokyo, section 1, t. 22, 1975, p. 255-266. Zbl0308.12003

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