Formes automorphes cuspidales pour $G{L}_2$ sur un corps quadratique imaginaire. Valeurs spéciales de fonctions $L$ et congruences

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1. [A] Asai, T.: On the Fourier coefficient of automorphic forms at various cusps and some applications to Rankin's convolution, J. Math. Japan vol. 28, No. 1 (1976). Zbl0313.10026MR427235
2. [B] Bredon, G.E.: Sheaf theory, McGraw-Hill, 1967. Zbl0158.20505MR221500
3. [Be] Beilinson, A.: Higher regulators and values of L-functions, J. Soviet Math.30, Ch. 2, Sect. 6, (1985) 2036-2070. Zbl0588.14013
4. [B-M] Borel, A. et Moore, J.C.: Homology theory for locally compact spaces, Mich. Math. J.7, (1960) 137-159. Zbl0116.40301MR131271
5. [B-S] Borel, A. et Serre, J-P.: Corners and arithmetic groups, Comment. Math. Helv.48, (1974) 436-491. Zbl0274.22011MR387495
6. [B-W] Borel, A. et Wallach, N.: Continuous cohomology, discrete subgroups, and representations of reductive groups, Princeton University Press1980. Zbl0443.22010MR554917
7. [C] Casselman, W.: On some results of Atkin and Lehner, Math. Ann.201 (1973), p. 301-314. Zbl0239.10015MR337789
8. [Ge] Gelbart, S.: Automorphic forms on adele groups, Princeton University Press1975. Zbl0329.10018MR379375
9. [G-J] Gelbart, S. et Jacquet, H.: A relation between automorphic representations of GL(2) and GL(3), Ann. Sci. Ec. Norm. Super., 4ème série 11, (1978) 471-542. Zbl0406.10022MR533066
10. [Go1] Godement, R.: Topologie algébrique et théorie des faisceaux ed Hermann, 1958. Zbl0080.16201MR102797
11. [Go2] Godement, R.: Notes on Jacquet-Langlands' theory, Institute for Advanced Study, Princeton, 1970. 
12. [Gui] Guichardet, A.: Cohomologie des groupes topologiques et des algèbres de Lie, Textes Mathematiques2,Cedic/Fernand Nathan, 1980. Zbl0464.22001MR644979
13. [Ha] Harder, G.: Eisenstein cohomology of arithmetic groups: the case GL2, Inv. Math.89, (1987) 37-118. Zbl0629.10023MR892187
14. [H1] Hida, H.: Congruences of cusp forms and special values of their zeta function Inv. Math.63, (1981) 225-261. Zbl0459.10018MR610538
15. [H2] Hida, H.: On congruence divisors of cusp forms as factors of the special values of their zeta functions, Inv. Math., vol 64, (1981) 221-262. Zbl0472.10028MR629471
16. [H3] Hida, H.: Kummer's criterion for the special values of Hecke L-functions of imaginary quadraticfields and congruences among cusp forms, Inv. Math., vol 66, (1982) 415-459. Zbl0485.10019MR662601
17. [H4] Hida, H.: On p-adic Hecke algebras for GL2 over totally real fields, Ann. of Math., vol. 128, (1988) 295-384. Zbl0658.10034MR960949
18. [H5] Hida, H.: p-adic cohomology groups for SL2 over number fields, Duke Math. J., Vol 62 No 2, (1993) 259-314. Zbl0941.11024MR1203228
19. [H6] Hida, H.: On the critical values of L-functions of GL(2) and GL(2) x GL(2), to appear in Duke Math. Journal Vol 74, 1994. Zbl0838.11036MR1272981
20. [H7] Hida, H.: p-adic L-functions for base change lifts of GL(2) to GL(3), in Automorphic forms, Shimura varieties and L-functions II, Perspectives in Mathematics 11, Academic Press, (1990) 93-142. Zbl0705.11033MR1044829
21. [J] Jacquet, H.: Automorphic forms on GL2 part II, Springer Lecture Notes vol. 278, 1972. Zbl0243.12005MR562503
22. [K] Katz, N.: p-adic L-functions for CM fields, Inv. Math.49, (1978) 199-297. Zbl0417.12003MR513095
23. [M] Miyake, T.: On automorphic forms on GL2 and Hecke operators, Ann. Math.94, (1971) 174-1789. Zbl0204.54201MR299559
24. [O] Ogg, A.P.: On the eigenvalues of Hecke operators, Math. Ann.179, (1969) 101-108. Zbl0169.10102MR269597
25. [R-T] Rogawski, J.D. and Tunnell, J.B.: On Artin L-functions associated to Hilbert modular forms of weight one, Inv. Math. vol.74, (1983) 1-41. Zbl0523.12009MR722724
26. [Sh] Shimura, G.: Introduction to the Arithmetic Theory of Automorphic Functions; Princeton Univ. Press (1971). Zbl0221.10029MR314766
27. [St] Sturm, J.: Special values of zeta functions, and Eisenstein series of half integral weight, American J. of Math., vol. 102 No. 2, (1980), 291-240. Zbl0433.10015MR564472
28. [T] Taylor, R.: Congruences between Modular Forms on GL 2 over an imaginary quadratic field, Oct 1987, Princeton Ph.D. Thesis. 
29. [U] Urban, E.: Arithmetique des formes automorphes pour GL(2) sur un corps imaginaire quadratique, thèse de l'université d'Orsay. 
30. [W] Weil, A.: Dirichlet Series and automorphic forms, Lecture Notes189, Springer-Verlag, 1970. Zbl0218.10046

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