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On \(\ell\)-adic representations attached to modular forms. (English) Zbl 0302.10027

MSC:
11F03 Modular and automorphic functions
11F12 Automorphic forms, one variable
11S31 Class field theory; \(p\)-adic formal groups
14G20 Local ground fields in algebraic geometry
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References:
[1] Deligne, P.: Formes modulaires et représentationsb-adiques. Séminaire Bourbaki 355, Février 1969. Lecture Notes in Mathematics179. Berlin-Heidelberg-New York: Springer 1971
[2] Dickson, L. E.: Linear groups with an exposition of the Galois field theory. Leipzig: Teubner 1901 · JFM 32.0128.01
[3] Dieudonné, J.: La géométrie des groupes classiques. Berlin-Heidelberg-Göttingen: Springer 1955 · Zbl 0067.26104
[4] Hua, L-K.: Supplement to: On the automorphisms of the classical groups, by J. Dieudonné. AMS Memoirs No. 2. New York: AMS 1951
[5] Katz, N.:p-adic properties of modular schemes and modular forms. International Summer School on Modular Functions; Antwerp, 1972. Lecture Notes in Mathematics350, 69-190, 1973
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[9] Serre, J-P.: Congruences et formes modulaires (d’après H.P.F. Swinnerton-Dyer). Séminaire Bourbaki 416, Juin 1972. Lecture Notes in Mathematics317, 319-338, 1973
[10] Shih, K.: On the construction of Galois extensions of function fields and number fields. Princeton thesis, 1972
[11] Swinnerton-Dyer, H.P.F.: Onl-adic representations and congruences for coefficients of modular forms. International Summer School on Modular Functions; Antwerp, 1972. Lecture Notes in Mathematics350, 1-55, 1973 · doi:10.1007/978-3-540-37802-0_1
[12] Wilton, J.R.: Congruence properties of Ramanujan’s function ?(n). Proc. London Math. Soc.31, 1-10 (1928) · JFM 56.0874.02 · doi:10.1112/plms/s2-31.1.1
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