p -adic L -functions for modular forms

Shai Haran

Compositio Mathematica (1987)

  • Volume: 62, Issue: 1, page 31-46
  • ISSN: 0010-437X

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Haran, Shai. "$p$-adic $L$-functions for modular forms." Compositio Mathematica 62.1 (1987): 31-46. <http://eudml.org/doc/89832>.

@article{Haran1987,
author = {Haran, Shai},
journal = {Compositio Mathematica},
keywords = {modular form; Hecke eigenform; -adic L-function; Galois group},
language = {eng},
number = {1},
pages = {31-46},
publisher = {Martinus Nijhoff Publishers},
title = {$p$-adic $L$-functions for modular forms},
url = {http://eudml.org/doc/89832},
volume = {62},
year = {1987},
}

TY - JOUR
AU - Haran, Shai
TI - $p$-adic $L$-functions for modular forms
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 62
IS - 1
SP - 31
EP - 46
LA - eng
KW - modular form; Hecke eigenform; -adic L-function; Galois group
UR - http://eudml.org/doc/89832
ER -

References

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  1. Birch, B.J.: Elliptic curves over Q, a progress report. 1969Number Theory Institute. AMS Proc. Symp. Pure Math.XX (1971) 396-400. Zbl0214.19801MR314845
  2. Haran, S.: p-adic L-functions for elliptic curves over CM fields. Ph.D. Thesis. Massachusetts Institute of Technology (May 1983). 
  3. Kurcanov, P.F.: Dirichlet series of Jacquet-Langlands cusp forms over fields of CM-type. Math. USSR Izv.14 (1980). Zbl0427.10019
  4. Magnus, W. and Oberhettinger, F.: Formulas and Theorems for the Functions of Mathematical Physics. Chelsea (1954). Zbl0039.07202
  5. Manin, J.I.: Non-archimedean integration and p-adic Hecke-Langlands L-series. Russian Math. Surveys31, 1 (1976). Zbl0348.12016MR417134
  6. Mazur, B. and Swinnerton-Dyer, H.P.F.: Arithmetic of Weil curves. Invent. Math.25 (1974) 1-61. Zbl0281.14016MR354674
  7. Visik, S.: Non-archimedean measures associated with Dirichlet series. Mat. sb.99 (1976). Zbl0369.14010
  8. Weil, A.: Dirichlet series and automorphic forms. Lecture Notes in Math. 189. Springer Verlag (1971). Zbl0218.10046

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