@article{ASENS_1995_4_28_2_129_0, author = {Ulmer, Douglas L.}, title = {On the {Fourier} coefficients of modular forms}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {129--160}, publisher = {Elsevier}, volume = {Ser. 4, 28}, number = {2}, year = {1995}, doi = {10.24033/asens.1711}, zbl = {0827.11024}, mrnumber = {1318067}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1711/} }
TY - JOUR AU - Ulmer, Douglas L. TI - On the Fourier coefficients of modular forms JO - Annales scientifiques de l'École Normale Supérieure PY - 1995 SP - 129 EP - 160 VL - 28 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1711/ DO - 10.24033/asens.1711 LA - en ID - ASENS_1995_4_28_2_129_0 ER -
Ulmer, Douglas L. On the Fourier coefficients of modular forms. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 28 (1995) no. 2, pp. 129-160. doi : 10.24033/asens.1711. http://archive.numdam.org/articles/10.24033/asens.1711/
[BO] Notes on Crystalline Cohomology, Princeton University Press, 1978. | MR | Zbl
and ,[CO] Dimensions des espaces de formes modulaires in : J.-P. Serre and D.B. Zagier, Eds. Modular Functions of One Variable VI, (Lect. Notes in Math., Vol. 627, 1977, pp. 69-73). | MR | Zbl
and ,[D1] Formes modulaire et représentations ℓ-adiques (Séminaire Bourbaki 1968-1969, Lect. Notes in Math., Vol. 179, 1969, pp. 139-172). | Numdam | Zbl
,[D2] Théorie de Hodge, II (Inst. Hautes Études Sci. Publ. Math., Vol. 40, 1972, pp. 5-57). | Numdam | Zbl
,[H] Algebraic Geometry, Berlin Heidelberg New York, Springer, 1977. | MR | Zbl
,[Ig] On the algebraic theory of elliptic modular functions (J. Math. Soc. Japan, Vol. 20, 1968, pp. 96-106). | MR | Zbl
,[I] Complexe de de Rham-Witt et cohomologie cristalline (Ann. Sci. Éc. Norm. Sup., Vol. 12, 1979, pp. 501-661). | Numdam | MR | Zbl
,[Ko] Logarithmic structures of Fontaine-Illusie in : J.-I. Igusa, Ed. Algebraic Analysis, Geometry and Number Theory (Proceedings of the JAMI inaugural conference, 1989, pp. 191-224). | MR | Zbl
,[K1] Slope Filtration of F-crystals (Astérisque, Vol. 63, 1979, pp. 113-164). | Numdam | MR | Zbl
,[K2] p-adic properties of modular schemes and modular forms in : W. Kuyk and J.-P. Serre, Ed. Modular Functions of One Variable III (Lect. Notes in Math., Vol. 350, 1973, pp. 69-190). | MR | Zbl
,[KM] Arithmetic Moduli of Elliptic Curves, Princeton University Press, 1985. | MR | Zbl
and ,[KMe] Some consequences of the Riemann hypothesis for varieties over finite fields (Invent. Math., Vol. 23, 1974, pp. 73-77). | MR | Zbl
and ,[KKMS] Toroidal Embeddings I (Lect. Notes in Math., Vol. 339, 1973). | MR | Zbl
, , and ,[Ma] Frobenius and the Hodge filtration (Bull. Amer. Math. Soc., Vol. 78, 1972, pp. 653-667). | MR | Zbl
,[M1] On a conjecture of Artin and Tate (Annals of Math., (2), Vol. 102, 1975, pp. 517-533). | MR | Zbl
,[M2] Etale Cohomology, Princeton University Press, 1980. | MR | Zbl
,[Mi] Modular Forms, Berlin Heidelberg New York, Springer, 1989. | MR | Zbl
,[N] Slopes of powers of Frobenius on crystalline cohomology (Ann. Sci. Éc. Norm. Sup., Vol. 14, 1981, pp. 369-401). | Numdam | MR | Zbl
,[O] Convex Bodies and Algebraic Geometry, Berlin Heidelberg New York, Springer, 1985.
,[S] Motives for modular forms (Invent. Math., Vol. 100, 1990, pp. 419-430). | MR | Zbl
,[U1] On universal elliptic curves over Igusa curves (Invent. Math., Vol. 99, 1990, pp. 377-391). | MR | Zbl
,[U2] L-functions of universal elliptic curves over Igusa curves (Amer. J. Math., Vol. 112, 1990, pp. 687-712). | MR | Zbl
,Cité par Sources :