@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}, publisher = {Soci\'et\'e math\'ematique de France}, number = {119-120}, year = {1984}, mrnumber = {773087}, zbl = {0577.14013}, language = {fr}, url = {http://archive.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 - http://archive.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 http://archive.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, in Cohomologie $p$-adique, Astérisque, no. 119-120 (1984), pp. 17-49. http://archive.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. | EuDML | Numdam | MR | Zbl
,[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. | DOI | MR | Zbl
,[7] On the zeta function of a hypersurface, Publ. Math. I.H.E.S., 12 (1962), 5-68. | DOI | EuDML | Numdam | MR | Zbl
,[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. | DOI | MR | Zbl
,[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. | EuDML | Numdam | Zbl
,[13] Sommes exponentielles, Astérisque, 79 (1980). | Numdam | MR | Zbl
,[14] Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inventiones Math., 2 (1967), 256-273. | DOI | EuDML | MR | Zbl
,[15] -adic analysis : a short course on recent work, London Math. Soc. Lecture notes series, 46, Cambridge Univ. Press (1980). | MR | Zbl
,[16] Cyclotomic fields II, Graduate texts in Math., 69, Springer-Verlag (1980). | DOI | MR | Zbl
,[17] On the nilpotence of the hypergeometric equation, J. Math. Kyoto Univ., 12 (1972), 369-383. | DOI | MR | Zbl
,[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. | EuDML | Numdam | Zbl
,[20] A -adic fixed point formula, Amer. J. Math., 91 (1969), 835-850. | DOI | MR | Zbl
,[21] Index of -adic differential operators III. Application to twisted exponential sums, dans ce volume. | Numdam | Zbl
,[22] -adic hypergeometric functions and their cohomology, Duke Math. J., 44 (1977), 535-589. | DOI | MR | Zbl
,