Le prolongement p -adique analytique des fonctions L de Rankin

Alexej A. Pančiškin

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

  • Volume: 9, Issue: 3, page J1-J6

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Pančiškin, Alexej A.. "Le prolongement $p$-adique analytique des fonctions $L$ de Rankin." Groupe de travail d'analyse ultramétrique 9.3 (1981-1982): J1-J6. <http://eudml.org/doc/91887>.

@article{Pančiškin1981-1982,
author = {Pančiškin, Alexej A.},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {p-adic L-series; Rankin series; cusp forms; p-adic analytic continuation},
language = {fre},
number = {3},
pages = {J1-J6},
publisher = {Secrétariat mathématique},
title = {Le prolongement $p$-adique analytique des fonctions $L$ de Rankin},
url = {http://eudml.org/doc/91887},
volume = {9},
year = {1981-1982},
}

TY - JOUR
AU - Pančiškin, Alexej A.
TI - Le prolongement $p$-adique analytique des fonctions $L$ de Rankin
JO - Groupe de travail d'analyse ultramétrique
PY - 1981-1982
PB - Secrétariat mathématique
VL - 9
IS - 3
SP - J1
EP - J6
LA - fre
KW - p-adic L-series; Rankin series; cusp forms; p-adic analytic continuation
UR - http://eudml.org/doc/91887
ER -

References

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  1. [1] Cohen ( H.). - Sums involving the values at negative integers of L-functions of quadratic characters, Math. Annalen, t. 217, 1975, p. 271-285. Zbl0311.10030MR382192
  2. [2] Deligne ( P.). - Valeurs des fonctions L et périodes des intégrales, "Automorphie forms, representations and L-functions", part 2, p. 313-346. - Providence, American mathematical Society, 1979 (Proceedings of Symposia in pure Mathematics, 33). Zbl0449.10022MR546622
  3. [3] Jacquet ( H.). - Automorphic forms on GL(2), part II. - Berlin, Heidelberg, New York, Springer-Verlag, 1972 (Lecture Notes in Mathematics, 278). Zbl0243.12005MR562503
  4. [4] Katz ( N.M.). - p-adic L-functions for CM-fields, Invent. Math., t. 49, 1978, p. 199-297. Zbl0417.12003MR513095
  5. [5] Manin ( Ju.I.). - Les périodes des formes paraboliques et les séries p-adiques de Hecke, [en russe] Mat. Sbornik, t. 92, 1973, p. 378-401 ; [en anglais] Math. of the URSS-Sbomik, t. 92, 1979, p. 371-393. Zbl0293.14007
  6. [6] Manin ( Ju.I.). - L'intégration non archimédienne et les fonctions L p-adiques de Jacquet-Langlands, [en russe] Uspekhi Mat. Nauk, t. 31, 1979, p. 5-54 ; [en anglais] Russian math. Surv., t. 31, fasc. 1, 1976, p. 5-57. Zbl0348.12016MR417134
  7. [7] Mniin ( Ju.I.) et Pančiškin ( A.A.). - Convolution des séries de Hecke et leurs valeurs aux entiers, [en russe]Mat. Sbornik, t. 104, 1977, p. 617-651 ; [en anglais] Math. of the URSS Sbornik, t. 104, 1977, p. 519-537. Zbl0392.10028
  8. [8] Shimura ( G.). - The special values of the zeta-functions associated with cusp forms, Commun. pure appl. Math., t. 29, 1976, p. 783-804. Zbl0348.10015MR434962

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