Sur les séries L associées aux formes modulaires

Ha Huy Khoai

Bulletin de la Société Mathématique de France (1992)

  • Volume: 120, Issue: 1, page 1-13
  • ISSN: 0037-9484

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Khoai, Ha Huy. "Sur les séries $L$ associées aux formes modulaires." Bulletin de la Société Mathématique de France 120.1 (1992): 1-13. <http://eudml.org/doc/87637>.

@article{Khoai1992,
author = {Khoai, Ha Huy},
journal = {Bulletin de la Société Mathématique de France},
keywords = {determination of modular forms; -series; Manin's explicit formula; eigenvalues of Hecke operators},
language = {fre},
number = {1},
pages = {1-13},
publisher = {Société mathématique de France},
title = {Sur les séries $L$ associées aux formes modulaires},
url = {http://eudml.org/doc/87637},
volume = {120},
year = {1992},
}

TY - JOUR
AU - Khoai, Ha Huy
TI - Sur les séries $L$ associées aux formes modulaires
JO - Bulletin de la Société Mathématique de France
PY - 1992
PB - Société mathématique de France
VL - 120
IS - 1
SP - 1
EP - 13
LA - fre
KW - determination of modular forms; -series; Manin's explicit formula; eigenvalues of Hecke operators
UR - http://eudml.org/doc/87637
ER -

References

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  1. [1] JACQUET (H.) and LANGLANDS (R.). — Automorphic forms on GL(2), Lecture Notes in Mathematics 114, Springer-Verlag, Berlin-Heidelberg-New York, 1970. Zbl0236.12010MR53 #5481
  2. [2] LI (W.-C.) Winnie. — Newforms and functional equations, Math. Ann., t. 212, 1975, p. 285-315. Zbl0278.10026MR51 #5498
  3. [3] LI WINNIE (W.-C.). — Une caractérisation des représentations automorphes de GL(2) et de GL(1), C. R. Acad. Sci. Paris, t. A, 290, 1980, p. 681-684. Zbl0437.12011MR83h:22034b
  4. [4] LI WINNIE (W.-C.). — Hecke-Weil-Jacquet-Langlands Theorem revisited, Lecture Notes in Mathematics 751, Springer-Verlag, Berlin-Heidelberg-New York, p. 206-220. Zbl0413.10023MR81m:10058
  5. [5] LI WINNIE (W.-C.). — On converse theorems for GL(2) and GL(1), Amer. J. Math., t. 103, 1981, p. 851-886. Zbl0477.12013MR83b:22024
  6. [6] MANIN (Y.I.). — Explicite formulas for the eigenvalues of Hecke operators, Acta Arith., t. 24, 1973, p. 239-249. Zbl0273.10018MR48 #3886
  7. [7] MANIN (Y.I.). — Cusps and the zeta function of modular curves, Izv. AN SSSR, t. 3, 36, 1972, p. 19-66. Zbl0243.14008
  8. [8] OGG (A.). — Modular forms and Dirichlet series. — Benjamin, New York, 1968. Zbl0191.38101
  9. [9] PIATECKII SHAPIRO (I.I.). — On the Weil-Jacquet-Langlands theorem. Lie groups and their Representations, Halsted, New York, 1975, p. 583-595. Zbl0329.22014
  10. [10] RAZAR (M.). — Modular forms for Γ0(N) and Dirichlet series, Trans. Amer. Math. Soc., t. 231, 2, 1977, p. 489-495. Zbl0364.10015MR56 #2926
  11. [11] WEIL (A.). — Uber der Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Ann., t. 168, 1967, p. 149-156. Zbl0158.08601MR34 #7473
  12. [12] WEIL (A.). — Dirichlet Series and Automorphic Forms, Lecture Notes in Mathematics 189, Springer-Verlag, Berlin-Heidelberg-New York, 1971. Zbl0218.10046
  13. [13] WEIL (A.). — On the analogue of the modular group in characteristic p. Functional Analysis and Related Fields, p. 211-223, Springer-Verlag, Berlin and New York, 1970. Zbl0226.10031MR42 #5913
  14. [14] WEIL (A.). — Zeta-functions and Mellin transforms, Colloque on Algebraic Geometry, Bombay, p. 409-426, Tata Institute Bombay, 1969. Zbl0193.49104MR41 #6857

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