@incollection{AST_1984__119-120__17_0,
author = {Berthelot, Pierre},
title = {Cohomologie rigide et th\'eorie de {Dwork} : le cas des sommes exponentielles},
booktitle = {Cohomologie $p$-adique},
series = {Ast\'erisque},
pages = {17--49},
year = {1984},
publisher = {Soci\'et\'e math\'ematique de France},
number = {119-120},
mrnumber = {773087},
zbl = {0577.14013},
language = {fr},
url = {https://www.numdam.org/item/AST_1984__119-120__17_0/}
}
TY - CHAP AU - Berthelot, Pierre TI - Cohomologie rigide et théorie de Dwork : le cas des sommes exponentielles BT - Cohomologie $p$-adique AU - Collectif T3 - Astérisque PY - 1984 SP - 17 EP - 49 IS - 119-120 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1984__119-120__17_0/ LA - fr ID - AST_1984__119-120__17_0 ER -
%0 Book Section %A Berthelot, Pierre %T Cohomologie rigide et théorie de Dwork : le cas des sommes exponentielles %B Cohomologie $p$-adique %A Collectif %S Astérisque %D 1984 %P 17-49 %N 119-120 %I Société mathématique de France %U https://www.numdam.org/item/AST_1984__119-120__17_0/ %G fr %F AST_1984__119-120__17_0
Berthelot, Pierre. Cohomologie rigide et théorie de Dwork : le cas des sommes exponentielles, dans Cohomologie $p$-adique, Astérisque, no. 119-120 (1984), pp. 17-49. https://www.numdam.org/item/AST_1984__119-120__17_0/
[1] , , Twisted Kloosterman sums and -adic Bessel functions, Amer. J. Math., à paraître. | MR | Zbl
[2] , Géométrie rigide et cohomologie des variétés albébriques de caractéristique , Journées d'analyse -adique (Luminy 1982), G.E.A.U. 81-82, fasc. 3, Secrétariat Math. I.H.P., Paris. | Zbl | EuDML | MR | Numdam
[3] , Cohomologie rigide et cohomologie rigide à support propre, en préparation.
[4] , -adic. gamma function and Dwork cohomology, Trans. Amer. Math. Soc, 257 (1980), 359-369. | MR | Zbl
[5] , Applications de la formule des traces aux sommes trigonométriques, in SGA 4 1/2, Lecture Notes in Math. 569, Springer-Verlag (1977). | MR | Zbl
[6] , On the rationality of the zeta function of an algebraic variety, amer. Math., 82 (1960), 631-648. | MR | Zbl | DOI
[7] , On the zeta function of a hypersurface, Publ. Math. I.H.E.S., 12 (1962), 5-68. | DOI | MR | Zbl | EuDML | Numdam
[8] , On the rationality of zeta functions and L-series, Proc. Conf. on local fields (Driebergen 1966), 40-55, Springer-Verlag (1967). | MR | Zbl
[9] , Bessel functions as -adic functions of the argument, Duke Math. J., 41 (1974), 711-738. | MR | Zbl | DOI
[10] , Lectures on -adic differential equations, Grundlehren der Math. Wiss., 253, Springer-Verlag (1982). | MR | Zbl
[11] , , Géométrie analytique rigide et applications, Progress in Math., 18, Birkhäuser (1981). | MR | Zbl
[12] , On the differential equations satisfied by period matrices, Publ. Math. I.H.E.S., 35 (1968), 71-106. | Zbl | EuDML | Numdam
[13] , Sommes exponentielles, Astérisque, 79 (1980). | Zbl | MR | Numdam
[14] , Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inventiones Math., 2 (1967), 256-273. | MR | Zbl | EuDML | DOI
[15] , -adic analysis : a short course on recent work, London Math. Soc. Lecture notes series, 46, Cambridge Univ. Press (1980). | Zbl | MR
[16] , Cyclotomic fields II, Graduate texts in Math., 69, Springer-Verlag (1980). | MR | Zbl | DOI
[17] , On the nilpotence of the hypergeometric equation, J. Math. Kyoto Univ., 12 (1972), 369-383. | MR | Zbl | DOI
[18] , -adic analysis and zeta function, Lectures in Math., Kyoto Univ., 4, Kinokuniya Bookstore Co. (1970). | MR | Zbl
[19] , Géométrie analytique rigide, Bull. Soc. Math. France, Mémoire 39-40 (1974), 319-327. | Zbl | EuDML | Numdam
[20] , A -adic fixed point formula, Amer. J. Math., 91 (1969), 835-850. | MR | Zbl | DOI
[21] , Index of -adic differential operators III. Application to twisted exponential sums, dans ce volume. | Zbl | Numdam
[22] , -adic hypergeometric functions and their cohomology, Duke Math. J., 44 (1977), 535-589. | MR | Zbl | DOI







