# On congruence modules associated to $\Lambda $-adic forms

Compositio Mathematica (1989)

- Volume: 71, Issue: 1, page 49-83
- ISSN: 0010-437X

## Access Full Article

top## How to cite

topDiamond, Fred. "On congruence modules associated to $\Lambda $-adic forms." Compositio Mathematica 71.1 (1989): 49-83. <http://eudml.org/doc/89968>.

@article{Diamond1989,

author = {Diamond, Fred},

journal = {Compositio Mathematica},

keywords = {ordinary modular form; congruent newforms},

language = {eng},

number = {1},

pages = {49-83},

publisher = {Kluwer Academic Publishers},

title = {On congruence modules associated to $\Lambda $-adic forms},

url = {http://eudml.org/doc/89968},

volume = {71},

year = {1989},

}

TY - JOUR

AU - Diamond, Fred

TI - On congruence modules associated to $\Lambda $-adic forms

JO - Compositio Mathematica

PY - 1989

PB - Kluwer Academic Publishers

VL - 71

IS - 1

SP - 49

EP - 83

LA - eng

KW - ordinary modular form; congruent newforms

UR - http://eudml.org/doc/89968

ER -

## References

top- [B] N. Bourbaki, Commutative Algebra, Hermann, Paris (1972). MR360549
- [H1] H. Hida, Congruences of cusp forms and special values of their zeta functions, Invent. Math.63 (1981) 225-261. Zbl0459.10018MR610538
- [H2] H. Hida, On congruence divisors of cusp forms as factors of the special values of their zeta functions, Invent. Math.64 (1981) 221-262. Zbl0472.10028MR629471
- [H3] H. Hida, A p-adic measure attached to the zeta functions associated with two elliptic modular forms I, Invent. Math.79 (1985) 159-195. Zbl0573.10020MR774534
- [H4] H. Hida, Iwasawa modules attached to congruences of cusp forms, Ann. Scient. Ec. Norm. Sup.4-ème série 19 (1986) 231-273. Zbl0607.10022MR868300
- [H5] H. Hida, Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms, Invent. Math.85 (1986) 545-613. Zbl0612.10021MR848685
- [H6] H. Hida, On p-adic Hecke algebras for GL2 over totally real fields, Ann. of Math.128 (1988) 295-384. Zbl0658.10034MR960949
- [I] Y. Ihara, On modular curves over finite fields, Proceedings of the International Colloquium on Discrete Subgroups of Lie Groups and Applications to Moduli, Bombay, January 1973, 161-202. Zbl0343.14007MR399105
- [L] S. Lang, Introduction to Modular Forms, Springer, Berlin-Heidelberg-New York (1976). Zbl0344.10011MR429740
- [R1] K. Ribet, Mod p Hecke operators and congruences between modular forms, Invent. Math.71 (1983) 193-205. Zbl0508.10018MR688264
- [R2] K. Ribet, Congruence relations between modular forms, Proc. I.C.M. (1983) 503-514. Zbl0575.10024MR804706
- [S] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten and Princeton Univ. Press, Tokyo (1971). Zbl0221.10029MR1291394
- [T] R. Taylor, On Galois representations associated to Hilbert modular forms, preprint. Zbl0705.11031
- [W] A. Wiles, On ordinary λ-adic representations associated to modular forms, Invent. Math.94 (1988) 529-573. Zbl0664.10013

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.