@article{JTNB_1995__7_1_333_0, author = {Robert F. Coleman}, title = {Classical and overconvergent modular forms}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, pages = {333--365}, publisher = {Universit\'e Bordeaux I}, volume = {7}, number = {1}, year = {1995}, doi = {10.5802/jtnb.146}, zbl = {1073.11515}, mrnumber = {1413582}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.146/} }
TY - JOUR TI - Classical and overconvergent modular forms JO - Journal de Théorie des Nombres de Bordeaux PY - 1995 DA - 1995/// SP - 333 EP - 365 VL - 7 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.146/ UR - https://zbmath.org/?q=an%3A1073.11515 UR - https://www.ams.org/mathscinet-getitem?mr=1413582 UR - https://doi.org/10.5802/jtnb.146 DO - 10.5802/jtnb.146 LA - en ID - JTNB_1995__7_1_333_0 ER -
Robert F. Coleman. Classical and overconvergent modular forms. Journal de Théorie des Nombres de Bordeaux, Volume 7 (1995) no. 1, pp. 333-365. doi : 10.5802/jtnb.146. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.146/
[1] The Up operator of Atkin on modular forms of level three, Illinois Journal of Math. 24 (1980), 49-60. | MR: 550651 | Zbl: 0431.14006
,[2] Non-Archimedian Analysis, Springer-Verlag, (1984). | Zbl: 0539.14017
, and ,[3] Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficients dans un module différentiel I, Inv. Math. 87 (1987), 83-99. | MR: 862713 | Zbl: 0586.14009
,[4] Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficients dans un module différentiel II, Math. Ann. (1988), 417-439. | MR: 936321 | Zbl: 0651.14012
,[5] Algebraic versus rigid cohomology woth logarithmic coefficients, to appear in the proceedings of the Barsotti conference. | Zbl: 0833.14010
and ,[6] Reciprocity laws on curves, Compositio 72 (1989), 205-235. | Numdam | MR: 1030142 | Zbl: 0706.14013
,[7] A p-adic Shimura isomorphism and p-adic periods of modular forms, Contemporary Math. 165 (1994), 21-51. | MR: 1279600 | Zbl: 0838.11033
,[8] A p-adic inner product on elliptic modular forms, to appear in the procedings of the Barsotti conference. | MR: 1307394
,[9] P-adic Banach spaces and Families of Modular forms, to appear. | MR: 1431135
,[10] Classical and overconvergent forms of higher level, to appear in Journées Arithmetiques 1993.
,[11] E2, Θ and U, to appear.
, ,[12] The Up operator of Atkin on modular forms of level 2 with growth conditions, SLN 350 (1972), 57-67. | MR: 332659 | Zbl: 0276.14010
,[13] Hecke polynomials as congruence ζ functions in the elliptic modular case, Ann. of Math. (1967), 267-295. | Zbl: 0181.36501
,[14] Crystalline cohomology and GL(2, Q), to appear. | MR: 1336315
and ,[15] Arithmetic of p-adic modular forms, SLN 1304, (1988). | MR: 1027593 | Zbl: 0641.10024
,[16] Continuity Properties of Modular Forms, Elliptic Curves and Related Topics, CRM Proceedings and Lecture Notes, AMS 4 (1994), 85-99. | MR: 1260956 | Zbl: 0829.11026
,[17] Families of Modular Eigenforms, Mathematics of Computation 58 (1992), 793-805. | MR: 1122070 | Zbl: 0773.11030
and ,[18] On the characterastic power series of the U operator, Annales de l'institut Fourier 43 2 (1993), 301-312. | Numdam | MR: 1220270 | Zbl: 0779.11022
,[19] A tameness criterion for galois representations attached to modular forms (mod p), Duke Math. Jour. 61 (1990), 445-516. | MR: 1074305 | Zbl: 0743.11030
,[20] Iwasawa modules attached to congruences of cusp forms, Ann. Sci. Ec. Norm. Sup. 19 (1986), 231-273. | Numdam | MR: 868300 | Zbl: 0607.10022
,[21] p-adic properties of modular forms, Modular Functions of one variable III, SLN 350, (1972), 69-190. | MR: 447119 | Zbl: 0271.10033
,[22] Travaux de Dwork, Séminaire Bourbaki, 1971 /72, (1973) 167-200. | Numdam | MR: 498577 | Zbl: 0259.14007
,[23] The regularity Theoraem in Algebraic Geometry, Actes, Congrès intern. math. 1 (1970), 437-443. | MR: 472822 | Zbl: 0235.14006
,[24] Theorem A und Theorem B in der nichtarchimedischen Funktiontheorie, Invent. Math. 2 (1967), 256-273. | MR: 210949 | Zbl: 0202.20201
,[25] On p-adic properties of the Eichler-selberg Trace formula II, Nagoya Math. J., Vol. 64 (1976) 87-96. | MR: 429747 | Zbl: 0344.10013
,[26] Modular Forms, Springer (1989). | MR: 1021004 | Zbl: 05012868
,[27] Galois representations attached to eigenforrns with nebentypus, Modular Functions of one Variable V, SLN 601 (1976), 17-36. | MR: 453647 | Zbl: 0363.10015
,[28] Points of rigid analytic varieties, J. Reine angew. Math. 434 (1993), 127-157. | MR: 1195693 | Zbl: 0774.14021
,[29] Endomorphismes complètements continues des espaces de Banach p-adiques, Publ. Math. I.H.E.S. 12 (1962), 69-85. | Numdam | MR: 144186 | Zbl: 0104.33601
,[30] Formes modulaires et fonctions zeta p-adiques, Modular Functions of one Variable III, SLN 350 (1972), 191-268. | MR: 404145 | Zbl: 0277.12014
,[31] Sur les intégrales attachées aux formes automorphes, J. Math. Soc. of Japan 11 (1959), 291-311. | MR: 120372 | Zbl: 0090.05503
,[32] On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields, Nagoya Math. J. 43 (1971), 199-208. | MR: 296050 | Zbl: 0225.14015
,Cited by Sources: