Duke Mathematical Journal
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Minorations de sommes d’exponentielles

Philippe Michel
Source: Duke Math. J. Volume 95, Number 2 (1998), 227-240.
First Page: Show Hide
Primary Subjects: 11L07
Secondary Subjects: 11N36
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077229697
Mathematical Reviews number (MathSciNet): MR1652005
Zentralblatt MATH identifier: 0958.11056
Digital Object Identifier: doi:10.1215/S0012-7094-98-09507-2

References

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Digital Object Identifier: doi:10.1007/BF02684780
[D2] P. Deligne, Application de la formule des traces aux sommes trigonométriques, Cohomologie étale, Lecture Notes in Math., vol. 569, Springer-Verlag, Berlin, 1977, Séminaire de Géometrie Algébrique du Bois-Marie, SGA 4 $1/2$.
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[DFI] W. Duke, J. B. Friedlander, and H. Iwaniec, Equidistribution of roots of a quadratic congruence to prime moduli, Ann. of Math. (2) 141 (1995), no. 2, 423–441.
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[HBP] D. R. Heath-Brown and S. J. Patterson, The distribution of Kummer sums at prime arguments, J. Reine Angew. Math. 310 (1979), 111–130.
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[Ka1] N. M. Katz, Gauss Sums, Kloosterman Sums, and Monodromy Groups, Ann. of Math. Stud., vol. 116, Princeton Univ. Press, Princeton, 1988.
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[Ka2] N. M. Katz, Exponential sums and differential equations, Ann. of Math. Stud., vol. 124, Princeton Univ. Press, Princeton, 1990.
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[Ka3] 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), no. 2, 269–309.
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[Mi] P. Michel, Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman, I, Invent. Math. 121 (1995), no. 1, 61–78.
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