@book{MSMF_1996_2_67__R1_0, author = {Hida, Haruzo}, title = {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}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {67}, year = {1996}, doi = {10.24033/msmf.381}, zbl = {0897.11015}, language = {en}, url = {http://www.numdam.org/item/MSMF_1996_2_67__R1_0/} }
TY - BOOK AU - Hida, Haruzo TI - 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 T3 - Mémoires de la Société Mathématique de France PY - 1996 IS - 67 PB - Société mathématique de France UR - http://www.numdam.org/item/MSMF_1996_2_67__R1_0/ DO - 10.24033/msmf.381 LA - en ID - MSMF_1996_2_67__R1_0 ER -
%0 Book %A Hida, Haruzo %T 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 %S Mémoires de la Société Mathématique de France %D 1996 %N 67 %I Société mathématique de France %U http://www.numdam.org/item/MSMF_1996_2_67__R1_0/ %R 10.24033/msmf.381 %G en %F MSMF_1996_2_67__R1_0
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, Série 2, no. 67 (1996), 116 p. doi : 10.24033/msmf.381. http://numdam.org/item/MSMF_1996_2_67__R1_0/
[1] p-adic Betti lattices, In &201C;p-adic Analysis&201D;, Lecture notes in Math. 1454 (1989), 23-63. | Zbl | MR
,[2] A p-adic property of Hodge classes of abelian varieties, Proc. Symp. Pure Math. 55 Part 2 (1994), 293-308. | Zbl | MR
,[3] Period relations and critical values of L-functions, preprint, 1989.
,[4] On the critical values of Hecke L-series, Ann. of Math. 124 (1986), 23-63. | Zbl | MR
,[5] Appendix to Orloff Critical values of certain tensor product L-functions, Invent. Math. 90 (1987), 181-188. | Zbl | MR
,[6] Motives for Hilbert modular forms, Inventiones Math. 114 (1993), 55-87. | Zbl | MR
and ,[7] L-functions and Tamagawa numbers of motives, Progress in Math. (Grothendieck Festschrift 1) 86 (1990), 333-400. | Zbl | MR
and ,[8] Algèbre commutative, Hermann Paris, 1961-1965.
,[9] Sur les représentations l-adiques associées aux formes modulaires de Hilbert, Ann. Sci. Éc. Norm. Sup. 4-th series, 19 (1986), 409-468. | Zbl | MR | Numdam
,[10] Formes modulaires et représentations galoisiennes à valeurs dans un anneau local compact, Contemporary Math. 165 (1994), 213-237. | Zbl | MR
,[11] On some results of Atkin and Lehner, Math. Ann. 201 (1973), 301-314. | Zbl | MR
,[12] Résidu en s = 1 des fonctions zêta p-adiques, Inventiones Math. 91 (1988), 371-389. | Zbl | MR
,[13] Fonctions zêta p-adiques en s = 0, J. reine angew. Math. 467 (1995), 89-107. | Zbl | MR
,[14] p-adic interpolation of special values of Hecke L-functions, Compositio Math. 82 (1992), 143-187. | Zbl | MR | Numdam
and ,[15] Valeurs des fonctions L et périodes d'intégrales, Proc. Symp. Pure Math. 33 (1979), part 2, 313-346. | Zbl | MR
,[16] Hodge cycles on abelian varieties, Lecture Notes in Math. 900 (1982), 9-100. | Zbl | MR
,[17] Values of abelian L-functions at negative integers over totally real fields, Invent. Math. 59 (1980), 227-286. | Zbl | MR
and ,[18] Tannakian categories, Lecture notes in Math. 900 (1982), 101-228. | Zbl | MR
and ,[19] Discriminant of Hecke fields and the twisted adjoint L-values for GL(2), preprint, 1996.
, and ,[20] Crystalline cohomology and p-adic Galois representations, Proc. JAMI inaugural Conference, supplement to Amer. J. Math. (1988), 25-80. | Zbl | MR
,[21] p-adic Hodge theory, J. Amer. Math. Soc. 1 (1988), 255-299. | Zbl | MR
,[22] 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 (1982), 529-577. | Zbl | MR
,[23] Modules galoisiens, modules filtrés et anneaux de Barsotti-Tate, Astérisque 65 (1979), 3-80. | Zbl | MR | Numdam
,[24] p-adic periods and p-adic étale cohomology, Contemporary Math. 67 (1987), 179-207. | Zbl | MR
and ,[25] Deformation rings and Hecke algebras in totally real case, preprint, 1996.
,[26] A relation between automorphic representations of GL(2) and GL(3), Ann. Scient. Ec. Norm. Sup. 4-th series 11 (1978), 471-542. | Zbl | MR | Numdam
and ,[27] Relations monomiales entre périodes p-adiques, Invent. Math. 93 (1988), 355-381. | Zbl | MR
,[28] Iwasawa theory and p-adic deformations of motives, Proc. Symp. Pure Math. 55 (1994) Part 2, 193-223. | Zbl | MR
,[29] Iwasawa theory for p-adic representations, Adv. Studies Pure Math. 17 (1989), 97-137. | Zbl | MR
,[30] Period invariants of Hilbert modular forms I: Trilinear differential operators and L-functions, Lecture note in Math. 1447 (1990), 155-202. | Zbl | MR
,[31] L-functions of 2×2 unitary groups and factorization of periods of Hilbert modular forms, J. Amer. Math. Soc. 6 (1993), 637-719. | Zbl | MR
,[32] p-adic measures and square roots of triple product L-functions, preprint, 1994.
and ,[33] Elementary Theory of L-functions and Eisenstein series, LMSST 26, Cambridge University Press, 1993. | Zbl | MR
,[34] On p-adic Hecke algebras for GL2 over totally real fields, Ann. of Math. 128 (1988), 295-384. | Zbl | MR
,[35] On nearly ordinary Hecke algebras for GL(2) over totally real fields, Adv. Studies in Pure Math. 17 (1989), 139-169. | Zbl | MR
,[36] Iwasawa modules attached to congruences of cusp forms, Ann. Sci. Ec. Norm. Sup. 4-ème série 19 (1986), 231-273. | Zbl | MR | Numdam
,[37] A p-adic measure attached to the zeta functions associated with two elliptic modular forms I, Inventiones Math. 79 (1985), 159-195; II, Ann. l'Institut Fourier 38 (1988), 1-83. | Zbl | Numdam
,[38] Nearly ordinary Hecke algebras and Galois representations of several variables, Proc. JAMI inaugural Conference, supplement to Amer. J. Math. (1988), 115-134. | Zbl | MR
,[39] Modules of congruence of Hecke algebras and L-functions associated with cusp forms, Amer. J. Math. 110 (1988), 323-382. | Zbl | MR
,[40] Le produit de Petersson et de Rankin p-adique, Sém. Théorie des Nombres, 1988-1989, 87-102. | Zbl | MR
,[41] On p-adic L-functions of GL(2) × GL(2) over totally real fields, Ann. l'Institut Fourier 41 No.2 (1991), 311-391. | Zbl | MR | Numdam
,[42] On the critical values of L-functions of GL(2) and GL(2) × GL(2), Duke Math. J. 74 (1994), 431-529. | Zbl | MR
,[43] Congruences of cusp forms and special values of their zeta functions, Inventiones Math. 63 (1981), 225-261. | Zbl | MR
,[44] Galois representations into GL2 (ℤp[[X]]) attached to ordinary cusp forms, Inventiones Math. 85 (1986), 545-613. | Zbl | MR
,[45] On Selmer groups of adjoint modular Galois representations, Number Theory, Paris, LMS lecture notes series, 1996. | Zbl | MR
,[46] Non-critical values of adjoint L-functions for SL(2), preprint, 1997.
,[47] Anti-cyclotomic Katz p-adic L-functions and congruence modules, Ann. Scient. Ec. Norm. Sup. 26 (1993), 189-259. | Zbl | MR | Numdam
and ,[48] On the anticyclotomic main conjecture for CM fields, Inventiones Math. 117 (1994), 89-147. | Zbl | MR
and ,[49] Adjoint modular Galois representations and their Selmer groups, Proc. NAS. 1997 | Zbl | MR
, , and ,[50] Cohomologie de de Rham et cohomologie étale p-adique, Séminaire Bourbaki, 1989-1990 no. 726 | Zbl | Numdam
,[51] Automorphic forms on GL(2), II, Lecture notes in Math. 278, Springer, 1972 | Zbl | MR
,[52] p-adic L-functions for CM fields, Inventiones Math. 49 (1978), 199-297 | Zbl | MR
,[53] On standard p-adic L-functions of families of elliptic cusp forms, Contemporary Math. 165 (1994), 81-110 | Zbl | MR
,[54] Deforming Galois representations, in "Galois group over ℚ", MSRI publications 16, (1989), 385-437 | Zbl | MR
,[55] Représentations Galoisiennes, différentielles de Kähler et "conjectures principales", Publ. IHES 71 (1990), 65-103 | Zbl | MR | Numdam
and ,[56] Admissible non-archimedean standard zeta functions associated with Siegel modular forms, Proc. Symp. Pure Math. 55 Part 2 (1994), 251-292 | Zbl | MR
,[57] Produits triples des formes modulaires et leur interpolation p-adique par la méthode d'Amice-Vélu, preprint 1993
,[58] Fonction L p-adiques des représentations p-adiques, Astérisque 229 (1995) | Zbl | Numdam
,[59] Variation de la fonction L p-adique par isogénie, Adv. Studies Pure Math. 17 (1989), 347-358 | Zbl | MR
,[60] Représentations p-adiques, périodes et fonctions L p-adiques, Séminaire de théorie des nombres, Paris (1987-1988), 213-258 | Zbl | MR
,[61] Abelian l-adic representations and elliptic curves, Benjamin, 1968 | Zbl | MR
,[62] Groupes algébriques associés aux modules de Hodge-Tate, Astérisque 65 (1979), 155-188 | Zbl | MR | Numdam
,[63] Propriétés conjecturales des groupes de Galois motiviques et des représentations l-adiques, Proc. Symp. Pure Math. 55, Part 1, 377-400 | Zbl | MR
,[64] Introduction to the arithmetic theory of automorphic functions, Iwanami-Shoten and Princeton Univ. Press, 1971 | Zbl
,[65] The special values of the zeta functions associated with Hilbert modular forms, Duke Math. J. 45 (1978), 637-679 | Zbl | MR
,[66] On the critical values of certain Dirichlet series and the periods of automorphic forms, Inventiones Math. 94 (1988), 245-305 | Zbl | MR
,[67] On the fundamental periods of automorphic forms of arithmetic type, Inventiones Math. 102 (1990), 399-428 | Zbl | MR
,[68] p-Divisible groups, Proc. of Conference on local fields, Driebergen 1966, 158-183 | Zbl | MR
,[69] On Galois representations associated to Hilbert modular forms, Inventiones Math. 98 (1989), 265-280 | Zbl | MR
,[70] Ring theoretic properties of certain Hecke modules, Ann. of Math. 142 (1995), 553-572 | Zbl | MR
and ,[71] Sur la conjecture principale anticyclotomique, Duke. Math. J. 59 (1989), 629-673 | Zbl | MR
,[72] Deformation of Galois representations and Hecke algebras, Publ. Mehta Res. Inst., Narosa Publ., Delhi, 1996 | Zbl
,[73] Modular elliptic curves and Fermat's last theorem, Ann. of Math. 142 (1995), 443-551 | Zbl | MR
,[74] On the zeta functions of Shimura varieties and periods of Hilbert modular forms, Duke Math. J. 75 (1994), 121-191 | Zbl | MR
,[75] On a conjecture of Shimura concerning periods of Hilbert modular forms, Amer. J. Math. 117 (1995), 1019-1038 | Zbl | MR
,Cité par Sources :