Congruence modules related to Eisenstein series

 Access to full text

 Full (PDF)

1. [1] Greenberg R., Stevens G., p-adic L-functions and p-adic periods of modular forms, Invent. Math.111 (1993) 407-447. Zbl0778.11034MR1198816
2. [2] Harder G., Pink R., Modular konstruierte unverzweigte abelsche p-Erweiterungen von Q(ζp) und die Struktur ihrer Galoisgruppen, Math. Nachr.159 (1992) 83-99. Zbl0773.11069
3. [3] Hecke E., Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik, Abh. Math. Sem. Hamburg5 (1927) 199-224, (Math. Werke No. 24). Zbl53.0345.02JFM53.0345.02
4. [4] Hida H., Iwasawa modules attached to congruences of cusp forms, Ann. Sci. Éc. Norm. Sup. (4)19 (1986) 231-273. Zbl0607.10022MR868300
5. [5] Hida H., Hecke algebras for GL1 and GL2, in: Sém. Théorie des Nombres, Paris, 1984–85, Progress in Math., 63, Birkhäuser, 1986, pp. 131-163. Zbl0648.10020MR897346
6. [6] Hida H., Galois representations into GL2(Zp〚X〛) attached to ordinary cusp forms, Invent. Math.85 (1986) 543-613. Zbl0612.10021
7. [7] Hida H., A p-adic measure attached to the zeta functions associated with two elliptic modular forms II, Ann. Inst. Fourier38 (1988) 1-83. Zbl0645.10028MR976685
8. [8] Hida H., Elementary Theory of L-functions and Eisenstein Series, London Math. Soc. Stud. Texts, 26, Cambridge Univ. Press, 1993. Zbl0942.11024MR1216135
9. [9] Kurihara M., Ideal class groups of cyclotomic fields and modular forms of level 1, J. Number Theory45 (1993) 281-294. Zbl0797.11087MR1247385
10. [10] Kubert D., Lang S., Modular units, Springer-Verlag, 1981. Zbl0492.12002MR648603
11. [11] Mazur B., Wiles A., Class fields of abelian extensions of Q, Invent. Math.76 (1984) 179-330. Zbl0545.12005MR742853
12. [12] Mazur B., Wiles A., On p-adic analytic families of Galois representations, Comp. Math.59 (1986) 231-264. Zbl0654.12008MR860140
13. [13] Ohta M., On cohomology groups attached to towers of algebraic curves, J. Math. Soc. Japan45 (1993) 131-183. Zbl0820.14014MR1195688
14. [14] Ohta M., On the p-adic Eichler–Shimura isomorphism for Λ-adic cusp forms, J. Reine Angew. Math.463 (1995) 49-98. Zbl0827.11025
15. [15] Ohta M., Ordinary p-adic étale cohomology groups attached to towers of elliptic modular curves, Comp. Math.115 (1999) 241-301. Zbl0967.11015MR1674001
16. [16] Ohta M., Ordinary p-adic étale cohomology groups attached to towers of elliptic modular curves. II, Math. Ann.318 (2000) 557-583. Zbl0967.11016MR1800769
17. [17] Saby N., Théorie d'Iwasawa géométrique: un théorème de comparaison, J. Number Theory59 (1996) 225-247. Zbl0870.11069MR1402607
18. [18] Shimura G., Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten and Princeton Univ. Press, 1971. Zbl0221.10029MR314766
19. [19] Stevens G., Arithmetic on Modular Curves, Progress in Math., 20, Birkhäuser, 1982. Zbl0529.10028MR670070
20. [20] Tilouine J., Un sous-groupe p-divisible de la jacobienne de X1(Npr) comme module sur l'algèbre de Hecke, Bull. Soc. Math. Fr.115 (1987) 329-360. Zbl0677.14006MR926532
21. [21] Wiles A., On ordinary λ-adic representations associated to modular forms, Invent. Math.94 (1988) 529-573. Zbl0664.10013
22. [22] Wiles A., The Iwasawa conjecture for totally real fields, Ann. Math.131 (1990) 493-540. Zbl0719.11071MR1053488