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Table of contents for this issue Hida, Haruzo On the search of genuine $p$-adic modular $L$-functions for $GL(n)$. With a correction to: On $p$-adic $L$-functions of $GL(2)\times{}GL(2)$ over totally real fields. Mémoires de la Société Mathématique de France, Sér. 2, 67 (1996), vi+110 p Full text djvu | pdf | Reviews Zbl 0897.11015 | 1 citation in Numdam stable URL: http://www.numdam.org/item?id=MSMF_1996_2_67__R1_0 Bibliography [2] D. Blasius, A p-adic property of Hodge classes of abelian varieties, Proc. Symp. Pure Math. 55 Part 2 ( [3] D. Blasius, Period relations and critical values of L-functions, preprint, [4] D. Blasius, On the critical values of Hecke L-series, Ann. of Math. 124 ( [5] D. Blasius, Appendix to Orloff Critical values of certain tensor product L-functions, Invent. Math. 90 ( Article | MR 88i:11031 | Zbl 0625.10022 [6] D. Blasius and J. D. Rogawski, Motives for Hilbert modular forms, Inventiones Math. 114 ( Article | MR 94i:11033 | Zbl 0829.11028 [7] S. Bloch and K. Kato, L-functions and Tamagawa numbers of motives, Progress in Math. (Grothendieck Festschrift 1) 86 ( [8] N. Bourbaki, Algèbre commutative, Hermann Paris, [9] H. Carayol, Sur les représentations l-adiques associées aux formes modulaires de Hilbert, Ann. Sci. Éc. Norm. Sup. 4-th series, 19 ( Numdam | MR 89c:11083 | Zbl 0616.10025 [10] H. Carayol, Formes modulaires et représentations galoisiennes à valeurs dans un anneau local compact, Contemporary Math. 165 ( [11] W. Casselman, On some results of Atkin and Lehner, Math. Ann. 201 ( Article | MR 49 #2558 | Zbl 0239.10015 [12] P. Colmez, Résidu en s = 1 des fonctions zêta p-adiques, Inventiones Math. 91 ( Article | MR 89d:11104 | Zbl 0651.12010 [13] P. Colmez, Fonctions zêta p-adiques en s = 0, J. reine angew. Math. 467 ( [14] P. Colmez and L. Schneps, p-adic interpolation of special values of Hecke L-functions, Compositio Math. 82 ( Numdam | MR 93d:11121 | Zbl 0777.11049 [15] P. Deligne, Valeurs des fonctions L et périodes d'intégrales, Proc. Symp. Pure Math. 33 ( [16] P. Deligne, Hodge cycles on abelian varieties, Lecture Notes in Math. 900 ( [17] P. Deligne and K. A. Ribet, Values of abelian L-functions at negative integers over totally real fields, Invent. Math. 59 ( Article | MR 81m:12019 | Zbl 0434.12009 [18] P. Deligne and J.S. Milne, Tannakian categories, Lecture notes in Math. 900 ( [19] K. Doi, H. Hida and H. Ishii, Discriminant of Hecke fields and the twisted adjoint L-values for GL(2), preprint, [20] G. Faltings, Crystalline cohomology and p-adic Galois representations, Proc. JAMI inaugural Conference, supplement to Amer. J. Math. ( [21] G. Faltings, p-adic Hodge theory, J. Amer. Math. Soc. 1 ( [22] J.-M. Fontaine, Sur certains types de représentations p-adiques du group de Galois d'un corps local; construction d'un anneau de Barsotti-Tate, Ann. of Math. 115 ( [23] J.-M. Fontaine, Modules galoisiens, modules filtrés et anneaux de Barsotti-Tate, Astérisque 65 ( [24] J.-M. Fontaine and W. Messing, p-adic periods and p-adic étale cohomology, Contemporary Math. 67 ( [25] K. Fujiwara, Deformation rings and Hecke algebras in totally real case, preprint, [26] S. Gelbart and H. Jacquet, A relation between automorphic representations of GL(2) and GL(3), Ann. Scient. Ec. Norm. Sup. 4-th series 11 ( Numdam | MR 81e:10025 | Zbl 0406.10022 [27] R. Gillard, Relations monomiales entre périodes p-adiques, Invent. Math. 93 ( Article | MR 89m:11058 | Zbl 0658.14023 [28] R. Greenberg, Iwasawa theory and p-adic deformations of motives, Proc. Symp. Pure Math. 55 ( [29] R. Greenberg, Iwasawa theory for p-adic representations, Adv. Studies Pure Math. 17 ( [30] M. Harris, Period invariants of Hilbert modular forms I: Trilinear differential operators and L-functions, Lecture note in Math. 1447 ( [31] M. Harris, L-functions of 2×2 unitary groups and factorization of periods of Hilbert modular forms, J. Amer. Math. Soc. 6 ( [32] M. Harris and J. Tilouine, p-adic measures and square roots of triple product L-functions, preprint, [33] H. Hida, Elementary Theory of L-functions and Eisenstein series, LMSST 26, Cambridge University Press, [34] H. Hida, On p-adic Hecke algebras for GL2 over totally real fields, Ann. of Math. 128 ( [35] H. Hida, On nearly ordinary Hecke algebras for GL(2) over totally real fields, Adv. Studies in Pure Math. 17 ( [36] H. Hida, Iwasawa modules attached to congruences of cusp forms, Ann. Sci. Ec. Norm. Sup. 4-ème série 19 ( Numdam | MR 88i:11023 | Zbl 0607.10022 [37] H. Hida, A p-adic measure attached to the zeta functions associated with two elliptic modular forms I, Inventiones Math. 79 ( Numdam | Zbl 0573.10020 [38] H. Hida, Nearly ordinary Hecke algebras and Galois representations of several variables, Proc. JAMI inaugural Conference, supplement to Amer. J. Math. ( [39] H. Hida, Modules of congruence of Hecke algebras and L-functions associated with cusp forms, Amer. J. Math. 110 ( [40] H. Hida, Le produit de Petersson et de Rankin p-adique, Sém. Théorie des Nombres, [41] H. Hida, On p-adic L-functions of GL(2) × GL(2) over totally real fields, Ann. l'Institut Fourier 41 No.2 ( Numdam | MR 93b:11052 | Zbl 0725.11025 [42] H. Hida, On the critical values of L-functions of GL(2) and GL(2) × GL(2), Duke Math. J. 74 ( Article | MR 98f:11043 | Zbl 0838.11036 [43] H. Hida, Congruences of cusp forms and special values of their zeta functions, Inventiones Math. 63 ( Article | MR 82g:10044 | Zbl 0459.10018 [44] H. Hida, Galois representations into GL2 (ℤp[[X]]) attached to ordinary cusp forms, Inventiones Math. 85 ( Article | MR 87k:11049 | Zbl 0612.10021 [45] H. Hida, On Selmer groups of adjoint modular Galois representations, Number Theory, Paris, LMS lecture notes series, [46] H. Hida, Non-critical values of adjoint L-functions for SL(2), preprint, [47] H. Hida and J. Tilouine, Anti-cyclotomic Katz p-adic L-functions and congruence modules, Ann. Scient. Ec. Norm. Sup. 26 ( Numdam | MR 93m:11044 | Zbl 0778.11061 [48] H. Hida and J. Tilouine, On the anticyclotomic main conjecture for CM fields, Inventiones Math. 117 ( Article | MR 95d:11149 | Zbl 0819.11047 [49] H. Hida, J. Tilouine, and E. Urban, Adjoint modular Galois representations and their Selmer groups, Proc. NAS. [50] Luc Illusie, Cohomologie de de Rham et cohomologie étale p-adique, Séminaire Bourbaki, Numdam | Zbl 0736.14005 [51] H. Jacquet, Automorphic forms on GL(2), II, Lecture notes in Math. 278, Springer, [52] N. M. Katz, p-adic L-functions for CM fields, Inventiones Math. 49 ( Article | MR 80h:10039 | Zbl 0417.12003 [53] K. Kitagawa, On standard p-adic L-functions of families of elliptic cusp forms, Contemporary Math. 165 ( [54] B. Mazur, Deforming Galois representations, in "Galois group over ℚ", MSRI publications 16, ( [55] B. Mazur and J. Tilouine, Représentations Galoisiennes, différentielles de Kähler et "conjectures principales", Publ. IHES 71 ( Numdam | MR 92e:11060 | Zbl 0744.11053 [56] A. A. Panchishkin, Admissible non-archimedean standard zeta functions associated with Siegel modular forms, Proc. Symp. Pure Math. 55 Part 2 ( [57] A. A. Panchishkin, Produits triples des formes modulaires et leur interpolation p-adique par la méthode d'Amice-Vélu, preprint [58] B. Perrin-Riou, Fonction L p-adiques des représentations p-adiques, Astérisque 229 ( [59] B. Perrin-Riou, Variation de la fonction L p-adique par isogénie, Adv. Studies Pure Math. 17 ( [60] B. Perrin-Riou, Représentations p-adiques, périodes et fonctions L p-adiques, Séminaire de théorie des nombres, Paris ( [61] J.-P. Serre, Abelian l-adic representations and elliptic curves, Benjamin, [62] J.-P. Serre, Groupes algébriques associés aux modules de Hodge-Tate, Astérisque 65 ( [63] J.-P. Serre, Propriétés conjecturales des groupes de Galois motiviques et des représentations l-adiques, Proc. Symp. Pure Math. 55, Part 1, 377-400 MR 95m:11059 | Zbl 0812.14002 [64] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami-Shoten and Princeton Univ. Press, [65] G. Shimura, The special values of the zeta functions associated with Hilbert modular forms, Duke Math. J. 45 ( Article | MR 80a:10043 | Zbl 0394.10015 [66] G. Shimura, On the critical values of certain Dirichlet series and the periods of automorphic forms, Inventiones Math. 94 ( Article | MR 90e:11069 | Zbl 0656.10018 [67] G. Shimura, On the fundamental periods of automorphic forms of arithmetic type, Inventiones Math. 102 ( Article | MR 91k:11041 | Zbl 0712.11028 [68] J. Tate, p-Divisible groups, Proc. of Conference on local fields, Driebergen [69] R. Taylor, On Galois representations associated to Hilbert modular forms, Inventiones Math. 98 ( Article | MR 90m:11176 | Zbl 0705.11031 [70] R. Taylor and A. Wiles, Ring theoretic properties of certain Hecke modules, Ann. of Math. 142 ( [71] J. Tilouine, Sur la conjecture principale anticyclotomique, Duke. Math. J. 59 ( Article | MR 91b:11118 | Zbl 0707.11079 [72] J. Tilouine, Deformation of Galois representations and Hecke algebras, Publ. Mehta Res. Inst., Narosa Publ., Delhi, [73] A. Wiles, Modular elliptic curves and Fermat's last theorem, Ann. of Math. 142 ( [74] H. Yoshida, On the zeta functions of Shimura varieties and periods of Hilbert modular forms, Duke Math. J. 75 ( Article | MR 95d:11059 | Zbl 0823.11018 [75] H. Yoshida, On a conjecture of Shimura concerning periods of Hilbert modular forms, Amer. J. Math. 117 ( |
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