previous :: next
Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman, II
Philippe Michel
Source: Duke Math. J. Volume 92, Number 2
(1998), 221-254.
First Page:
Show
Hide
Related Works:
Primary Subjects:
11L05
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077231484
Mathematical Reviews number (MathSciNet): MR1612781
Zentralblatt MATH identifier: 0959.11035
Digital Object Identifier: doi:10.1215/S0012-7094-98-09205-5
References
[BF1] E. Bombieri, J. B. Friedlander, and H. Iwaniec, Primes in arithmetic progressions to large moduli, Acta Math. 156 (1986), no. 3-4, 203–251.
Mathematical Reviews (MathSciNet): MR88b:11058
Zentralblatt MATH: 0588.10042
Digital Object Identifier: doi:10.1007/BF02399204
[D] P. Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. (1980), no. 52, 137–252.
Mathematical Reviews (MathSciNet): MR83c:14017
Zentralblatt MATH: 0456.14014
Digital Object Identifier: doi:10.1007/BF02684780
[DI] J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982/83), no. 2, 219–288.
Mathematical Reviews (MathSciNet): MR84m:10015
Zentralblatt MATH: 0502.10021
Digital Object Identifier: doi:10.1007/BF01390728
[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.
Mathematical Reviews (MathSciNet): MR95k:11124
Zentralblatt MATH: 0840.11003
Digital Object Identifier: doi:10.2307/2118527
JSTOR: links.jstor.org
[DuI] W. Duke and H. Iwaniec, A relation between cubic exponential and Kloosterman sums, A tribute to Emil Grosswald: number theory and related analysis, Contemp. Math., vol. 143, Amer. Math. Soc., Providence, RI, 1993, pp. 255–258.
Mathematical Reviews (MathSciNet): MR93m:11082
Zentralblatt MATH: 0792.11029
[FIK] E. Fouvry, H. Iwaniec, and N. M. Katz, The divisor function over arithmetic progressions, Acta Arith. 61 (1992), no. 3, 271–287.
Mathematical Reviews (MathSciNet): MR93g:11089
Zentralblatt MATH: 0764.11040
[HB1] D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan identity, Canad. J. Math. 34 (1982), no. 6, 1365–1377.
Mathematical Reviews (MathSciNet): MR84g:10075
Zentralblatt MATH: 0478.10024
[HB2] D. R. Heath-Brown, The divisor function $d\sb 3(n)$ in arithmetic progressions, Acta Arith. 47 (1986), no. 1, 29–56.
Mathematical Reviews (MathSciNet): MR88a:11088
Zentralblatt MATH: 0549.10034
[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.
Mathematical Reviews (MathSciNet): MR81e:10033
Zentralblatt MATH: 0412.10028
[Ho] C. Hooley, On the distribution of the roots of polynomial congruences, Mathematika 11 (1964), 39–49.
Mathematical Reviews (MathSciNet): MR29:1173
Zentralblatt MATH: 0123.25802
Digital Object Identifier: doi:10.1112/S0025579300003466
[Ku] N. V. Kuznecov, The Petersson conjecture for cusp forms of weight zero and the Linnik conjecture. Sums of Kloosterman sums, Mat. Sb. (N.S.) 111(153) (1980), no. 3, 334–383, 479.
Mathematical Reviews (MathSciNet): MR81m:10053
[Mi] P. Michel, Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman. I, Invent. Math. 121 (1995), no. 1, 61–78.
Mathematical Reviews (MathSciNet): MR97k:11118
Zentralblatt MATH: 0844.11055
Digital Object Identifier: doi:10.1007/BF01884290
[Sa] P. Sarnak, Some applications of modular forms, Cambridge Tracts in Mathematics, vol. 99, Cambridge University Press, Cambridge, 1990.
Mathematical Reviews (MathSciNet): MR92k:11045
Zentralblatt MATH: 0721.11015
[Te1] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Cours Spécialisés [Specialized Courses], vol. 1, Société Mathématique de France, Paris, 1995.
Mathematical Reviews (MathSciNet): MR97e:11005a
Zentralblatt MATH: 0880.11001
[Te2] G. Tenenbaum, Sur la probabilité qu'un entier possède un diviseur dans un intervalle donné, Compositio Math. 51 (1984), no. 2, 243–263.
Mathematical Reviews (MathSciNet): MR86c:11009
Zentralblatt MATH: 0541.10038
[We1] A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U. S. A. 34 (1948), 204–207.
Mathematical Reviews (MathSciNet): MR10,234e
Zentralblatt MATH: 0032.26102
Digital Object Identifier: doi:10.1073/pnas.34.5.204
JSTOR: links.jstor.org
previous :: next
Duke Mathematical Journal