@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 <span class="mathjax-formula">$p$</span>-adique}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {119-120}, year = {1984}, zbl = {0577.14013}, mrnumber = {773087}, language = {fr}, url = {http://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 <span class="mathjax-formula">$p$</span>-adique AU - Collectif T3 - Astérisque PY - 1984 DA - 1984/// IS - 119-120 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1984__119-120__17_0/ UR - https://zbmath.org/?q=an%3A0577.14013 UR - https://www.ams.org/mathscinet-getitem?mr=773087 LA - fr ID - AST_1984__119-120__17_0 ER -
Berthelot, Pierre. Cohomologie rigide et théorie de Dwork : le cas des sommes exponentielles, dans Cohomologie $p$-adique, Astérisque, no. 119-120 (1984), 33 p. http://www.numdam.org/item/AST_1984__119-120__17_0/
[1] Twisted Kloosterman sums and -adic Bessel functions, Amer. J. Math., à paraître. | MR 745141 | Zbl 0552.12010
, ,[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 91894 | MR 865810 | Zbl 0515.14015
,[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 552263 | Zbl 0475.14017
,[5] Applications de la formule des traces aux sommes trigonométriques, in SGA 4 1/2, Lecture Notes in Math. 569, Springer-Verlag (1977). | MR 3727438 | Zbl 0349.10031
,[6] On the rationality of the zeta function of an algebraic variety, amer. Math., 82 (1960), 631-648. | Article | MR 140494 | Zbl 0173.48501
,[7] On the zeta function of a hypersurface, Publ. Math. I.H.E.S., 12 (1962), 5-68. | Article | EuDML 103828 | MR 159823 | Zbl 0173.48601
,[8] On the rationality of zeta functions and L-series, Proc. Conf. on local fields (Driebergen 1966), 40-55, Springer-Verlag (1967). | MR 289520 | Zbl 0205.50901
,[9] Bessel functions as -adic functions of the argument, Duke Math. J., 41 (1974), 711-738. | Article | MR 387281 | Zbl 0302.14008
,[10] Lectures on -adic differential equations, Grundlehren der Math. Wiss., 253, Springer-Verlag (1982). | MR 678093 | Zbl 0502.12021
,[11] Géométrie analytique rigide et applications, Progress in Math., 18, Birkhäuser (1981). | MR 644799 | Zbl 0479.14015
, ,[12] On the differential equations satisfied by period matrices, Publ. Math. I.H.E.S., 35 (1968), 71-106. | EuDML 103887 | Zbl 0159.22502
,[13] Sommes exponentielles, Astérisque, 79 (1980). | MR 617009 | Zbl 0469.12007
,[14] Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inventiones Math., 2 (1967), 256-273. | Article | EuDML 141857 | MR 210949 | Zbl 0202.20201
,[15] -adic analysis : a short course on recent work, London Math. Soc. Lecture notes series, 46, Cambridge Univ. Press (1980). | MR 591682 | Zbl 0439.12011
,[16] Cyclotomic fields II, Graduate texts in Math., 69, Springer-Verlag (1980). | Article | MR 566952 | Zbl 0435.12001
,[17] On the nilpotence of the hypergeometric equation, J. Math. Kyoto Univ., 12 (1972), 369-383. | Article | MR 301011 | Zbl 0275.14002
,[18] -adic analysis and zeta function, Lectures in Math., Kyoto Univ., 4, Kinokuniya Bookstore Co. (1970). | MR 282981 | Zbl 0256.14009
,[19] Géométrie analytique rigide, Bull. Soc. Math. France, Mémoire 39-40(1974), 319-327. | EuDML 94705 | Zbl 0299.14003
,[20] A -adic fixed point formula, Amer. J. Math., 91 (1969), 835-850. | Article | MR 255549 | Zbl 0213.47502
,[21] Index of -adic differential operators III. Application to twisted exponential sums, dans ce volume. | Zbl 0548.12015
,[22] -adic hypergeometric functions and their cohomology, Duke Math. J., 44 (1977), 535-589. | Article | MR 476750 | Zbl 0408.12025
,