# $p$-adic $L$-functions for modular forms

Compositio Mathematica (1987)

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

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topHaran, 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

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

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