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Table des matières de ce fascicule | Article précédent Robba, Philippe Une introduction naïve aux cohomologies de Dwork. Mémoires de la Société Mathématique de France, Sér. 2, 23 (1986), p. 61-105 Texte intégral djvu | pdf | Analyses MR 88a:14023 | Zbl 0623.14005 | 3 citations dans Numdam URL stable: http://www.numdam.org/item?id=MSMF_1986_2_23__61_0 Bibliographie Article | MR 58 #10747 | Zbl 0339.14012 [Ad 2] A. ADOLPHSON — On the mod p eigenvalues of Hecke operators. Duke Math. J. 43 ( Article | MR 58 #5523 | Zbl 0339.14011 [Ad 3] A. ADOLPHSON — An index theorem for p-adic differential operators. Trans. Amer. Math. Soc. 216 ( [Ad 4] A. ADOLPHSON — The Up-operator of Atkin on modular functions of level three. I11. J. of Math. 24 ( [A-S 1] A. ADOLPHSON, S. SPERBER — Exponential sums on the complement of a hypersurface. Amer. J. Math. 102 ( [A-S 2] A. ADOLPHSON, S. SPERBER — Twisted Kloosterman sums and p-adic Bessel functions. Amer. J. Math. 106 ( [A-S 3] A. ADOLPHSON, S. SPERBER — Character sums in finite fields. Comp. Math. 52 ( Numdam | MR 86c:11060 | Zbl 0561.12008 [Ba 1] P. BALDASSARRI — Higher p-adic Gamma functions and Dwork cohomology. Astérisque, 119-120 ( [Ba 2] F. BALDASSARRI — Cohomologie p-adique pour la fonction 3F2(a,b1,b2c1,c2 ; λ), Astérisque, 119-120 ( [Bo 1] E. BOMBIERI — On exponential sums in finite fields. Amer. J. Math. 88 ( [Bo 2] E. BOMBIERI — On exponential sums in finite fields II. Invent. Math. 47 ( [By 1] M. BOYARSKY — p-adic Gamma functions and Dwork cohomology. Trans. Amer. Math. Soc. 257 ( [By 2] M. BOYARSKY — The Reich trace formula. Astérisque 119-120 ( [Ch 1] G. CHRISTOL — Systèmes fifférentiels linéaires p-adiques : Structure de Frobenius faible. Bull. Soc. Math. France 109 ( Numdam | MR 82k:12027 | Zbl 0459.12020 [Ch 2] G. CHRISTOL — Un théorème de transfert pour les disques singuliers réguliers. Astérisque, 119-120 ( [Dw 1] B. DWORK — On the rationality of the zeta function of an algebraic variety. Amer. J. Math. 82 ( [Dw 2] B. DWORK — On the congruence properties of the zeta function of algebraic variety. J. Reine Angew. Math. 203 ( Article | MR 25 #3913 | Zbl 0119.36804 [Dw 3] B. DWORK — A deformation theory for the zeta function of a hypersurface. Proc. Int. Cong. Math. ( [Dw 4] B. DWORK — On the zeta function of a hypersurface. Pub. Math. I.H.E.S. 12 ( Numdam | MR 28 #3039 | Zbl 0173.48601 [Dw 5] B. DWORK — On the zeta function of a hypersurface II. Ann. of Math. 80 ( [Dw 6] B. DWORK — On the zeta function of a hypersurface III. Ann. of Math. 83 ( [Dw 7] B. DWORK — On the rationality of zeta functions and L-series. Proc. Conf. Local Fields, Driebergen [Dw 8] B. DWORK — On the zeta function of a hypersurface IV : a deformation theory for singular hypersurface. Ann. of Math. 90 ( [Dw 9] B. DWORK — p-adic cycles. Pub. Math. I.H.E.S. 37 ( Numdam | MR 45 #3415 | Zbl 0284.14008 [Dw 10] B. DWORK — On Hecke polynomials. Inv. Math. 12 ( [Dw 11] B. DWORK — Normalized period matrices I. Ann. of Math. 94 ( [Dw 12] B. DWORK — The Up operator of Atkin on moduoar functions of level 2 with growth conditions. Proc. of the Summer Institute on Modular forms ( [Dw 13] B. DWORK — Normalized period matrices II. Ann. of Math. 98 ( [Dw 14] B. DWORK — On p-adic differential equations I. Bull. Soc. Math. France, Mémoire 39-40 ( Numdam | Zbl 0304.14014 [Dw 15] B. DWORK — On p-adic differential equations IV. Ann. Sc. ENS 6 ( Numdam | MR 58 #27988b | Zbl 0309.14020 [Dw 16] B. DWORK — Bessel functions as p-adic functions of their argument. Duke Math. J. 41 ( Article | MR 52 #8124 | Zbl 0302.14008 [Dw 17] B. DWORK — Lectures on p-adic differential equations GL 253 ( [Dw 18] B. DWORK — On the Boyarsky principle. Amer. J. of Math. 105 ( [Dw 19] B. DWORK — On Kummer's twenty-four solutions of the hypergeometric differential equation. Trans. Amer. Math. Soc. (to appear). Zbl 0552.12012 [Dw 20] B. DWORK — On p-adic analysis. Some recent advances in the basic sciences vol. 2 (Proc. Annual Sc. Conf.). Belfer graduate school of Sciences, Yeshiva University, N.Y. ( [G-K] B. GROSS, N. KOBLITZ — Gauss sums and the p-adic Gamma function. Ann. of Math. 109 ( [Gr] L. GRUSON — Théorie de Fredholm p-adique. Bull. Soc. Math. France 94 ( Numdam | MR 37 #1971 | Zbl 0149.34702 [He] M. HEILIGMAN — A p-adic theory of hypergeometric differential équations. Princeton thesis [Ka 1] N. KATZ — On the differential equations satisfied by period matrices. Pub. Math. I.H.E.S. 35 ( Numdam | MR 39 #4168 | Zbl 0159.22502 [Ka 2] N. KATZ — On a theorem of Ax. Amer. J. of Math. 93 ( [Ka 3] N. KATZ — Travaux de Dwork. Séminaire Bourbaki Numdam | Zbl 0259.14007 [Ka 4] N. KATZ — Crystalline cohomology, Dieudonné modules and Jacobi sums. Automorphic forms, Representation theory an Arithmetic. Tata Inst., Bombay [Ko 1] N. KOBLITZ — p-adic numbers, p-adic analysis and zeta function. Springer-Verlag, [Ko 2] N. KOBLITZ — p-adic analysis : a short course on recent work. London Math. Soc., Lecture Notes series 46. MR 82c:12014 | Zbl 0439.12011 [La] S. LANG — Cyclotomic fields II, GIM 69. Springer-Verlay [Lu] S. LUBKIN — A p-adic proof of Weil's conjectures. Ann. of Math. 87 ( [Mo 1] P. MONSKY — Formal cohomology III, fixed point theorems. Ann. of Math. 93 ( [Mo 2] P. MONSKY — p-adic analysis and zeta functions. Lectures in Mathematics, Kyoto University, Kinokuniya bookstore, Tokyo Zbl 0256.14009 [M-W 1] P. MONSKY, G. WASHNITZER — Formal cohomology I. Ann. of Math. 88 ( [M-W 2] P. MONSKY, G. WASHNITZER — Formal cohomology II. Ann. of Math. 88 ( [Re] D. REICH — A p-adic fixed point formula. Amer. J. Math. 91 ( [Ro 1] P. ROBBA — On the index of p-adic differential operators I. Ann. of Math. 101 ( [Ro 2] P. ROBBA — Index of p-adic differential operators III. Application to exponential sums. Astérisque, 119-120 ( [Ro 3] P. ROBBA — Indice d'un opérateur différentiel p-adique IV. Cas des systèmes. Ann. Inst. Fourier 35, 2 ( Numdam | MR 86j:12012 | Zbl 0548.12016 [Se 1] J.P. SERRE — Rationalité des fonctions zêta des variétés algébriques (d'après B. Dwork). Séminaire Bourbaki, Numdam | Zbl 0119.36805 [Se 2] J.P. SERRE — Endomarphismes complètement continus des espaces de Banach p-adiques. Pub. Math. I.H.E.S. 12 ( Numdam | MR 26 #1733 | Zbl 0104.33601 [Sp 1] S. SPERBER — p-adic hypergeometric functions and their cohomology. Duke Math. J. 44 ( Article | MR 57 #16307 | Zbl 0408.12025 [Sp 2] S. SPERBER — Congruences properties of the hyper-Kloosterman sum. Compositio Math. 40 ( Numdam | MR 81j:10059 | Zbl 0444.12014 [Sp 3] S. SPERBER — On the L-functions associated with certain exponential sums. J. Number Theory 12 ( [Sp 4] S. SPERBER — Newton polygons for general hyper-Kloosterman sums. Astérisque, 119-120 ( [Sp 5] S. SPERBER — A p-adic theory of exponential sums. Amer. J. Math. (to appear) |
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