PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wynik├│w
Czasopismo
1995 | 69 | 4 | 329-358
Tytuł artykułu

On the estimation of certain exponential sums

Tre┼Ť─ç / Zawarto┼Ť─ç
Warianty tytułu
J─Özyki publikacji
EN
Abstrakty
Słowa kluczowe
Czasopismo
Rocznik
Tom
69
Numer
4
Strony
329-358
Opis fizyczny
Daty
wydano
1995
otrzymano
1992-11-18
poprawiono
1994-08-08
Tw├│rcy
autor
  • Institute for Advanced Study, Princeton, New Jersey 08540, U.S.A.
autor
  • School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, U.S.A.
Bibliografia
  • [AS1] A. Adolphson and S. Sperber, Exponential sums and Newton polyhedra: Cohomology and estimates, Ann. of Math. 130 (1989), 367-406.
  • [AS2] A. Adolphson and S. Sperber, Exponential sums on $(­ŁöŻ*_q)Ôü┐$, in: Proc. Conf. Automorphic Forms and Analytic Number Theory, CRM, Montreal, 1989, 1-6.
  • [AS3] A. Adolphson and S. Sperber, Exponential sums on ­ŁöżÔü┐Ôéś, Invent. Math. 101 (1990), 63-79.
  • [Ar] M. Artin, On isolated rational singularities of surfaces, Amer. J. Math. 88 (1966), 129-136.
  • [B1] E. Bombieri, On exponential sums in finite fields, Amer. J. Math. 88 (1966), 71-105.
  • [B2] E. Bombieri, On exponential sums in finite fields II, Invent. Math. 47 (1978), 29-39.
  • [BS] E. Bombieri and S. Sperber, On the degree of Artin L-functions in characteristic p, C. R. Acad. Sci. Paris S├ęr. I 306 (1988), 393-398.
  • [D] P. Deligne, La conjecture de Weil II, Inst. Hautes ├ëtudes Sci. Publ. Math. 82 (1981), 313-428.
  • [DL1] J. Denef et F. Loeser, Poly├Ędres de Newton et poids de sommes exponentielles, in: p-Adic Analysis (Proceedings, Trento 1989), Lecture Notes in Math. 1454, Springer, Berlin, 217-222.
  • [DL2] J. Denef et F. Loeser, Weights of exponential sums, intersection cohomology and Newton polyhedra, Invent. Math. 106 (1991), 275-294.
  • [Ha] H. Hasse, Theorie der relativ-zyklischen algebraischen Funktionenk├Ârper, insbesondere bei endlichem Konstantenk├Ârper, J. Reine Angew. Math. 172 (1934), 37-54.
  • [H] C. Hooley, On exponential sums and certain of their applications, in: Number Theory Days, 1980 (Exeter 1980), London Math Soc. Lecture Note Ser. 56, Cambridge Univ. Press, Cambridge, 1982, 92-122.
  • [I] H. Iwaniec, Small eigenvalues of Laplacian for ╬ôÔéÇ(N), Acta Arith. 56 (1990), 65-82.
  • [K] N. Katz, Sommes exponentielles (r├ędig├ę par G. Laumon ), Ast├ęrisque 79 (1980).
  • [KL] N. Katz et G. Laumon, Transformation de Fourier et majoration des sommes exponentielles, Inst. Hautes ├ëtudes Sci. Publ. Math. 62 (1986), 361-418.
  • [L] S. Lang, Abelian Varieties, Interscience, New York, 1958.
  • [LW] S. Lang and A. Weil, Number of points of varieties in finite fields, Amer. J. Math. 76 (1954), 819-827.
  • [N] L. B. Nisnevich, On the number of points of an algebraic manifold in a prime finite field, Dokl. Akad. Nauk SSSR (N.S.) 99 (1954), 17-20 (in Russian).
  • [R] M. Reid, Undergraduate Algebraic Geometry, London Math. Soc. Stud. Texts 12, Cambridge Univ. Press, 1988.
  • [W] A. Weil, Sur les courbes alg├ębriques et les vari├ęt├ęs qui s'en d├ęduisent, Publ. Inst. Math. Univ. Strasbourg, 1945. Also Actualit├ęs Sci. Indust. 1041, Hermann, Paris, 1948.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-aav69i4p329bwm
JavaScript jest wy┼é─ůczony w Twojej przegl─ůdarce internetowej. W┼é─ůcz go, a nast─Öpnie od┼Ťwie┼╝ stron─Ö, aby m├│c w pe┼éni z niej korzysta─ç.