Minorations de sommes d’exponentielles

Duke Mathematical Journal

Volumn 95, Issue 2, 1998, Pages 227-240

  Michel, Philippe ^a  

^a Lab d'Analyse Numérique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037744242     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-98-09507-2     Document Type: Article

References (9)

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2. P. Deligne, “Application de le formule des traces aux sommes trigonométriques” dans Cohomologie étale, Séminaire de Géométrie Algébrique du Bois-Marie, SGA 4 1/2, Lecture Notes in Math. 569, Springer-Verlag, Berlin, 1977.
3. W. Duke, J. B. Friedlander and H. Iwaniec, Equidistribution of roots of a quadratic congruence to prime moduli, Ann. of Math. (2) 141 (1995), 423-441.
4. P. X. Gallagher, “The large sieve and probabilistic Galois theory” dans Analytic Number Theory (St. Louis Univ., St. Louis, Mo., 1972), Proc. Sympos. Pure Math. 24 Amer. Math. Soc., Providence, 1973, 91-101.
5. D. R. Heath-Brown and S. J. Patterson, The distribution of Kummer sums at prime arguments, J. Reine Angew. Math. 310 (1979), 111-130.
6. N. M. Katz, Gauss Sums, Kloosterman Sums, and Monodromy Groups, Ann. of Math. Stud. 116, Princeton Univ. Press, Princeton, 1988.
7. N. M. Katz, Exponential sums and differential equations, Ann. of Math. Stud. 124, Princeton Univ. Press, Princeton, 1990.
8. N. M. Katz, Exponential sums over finite fields and differential equations over the complex numbers: Some interactions, Bull. Amer. Math. Soc. (N.S.) 23 (1990), p. 269-309.
9. P. Michel, Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman, I, Invent. Math. 121 (1995), 61-78.