메뉴 건너뛰기




Volumn 209, Issue 2, 2003, Pages 261-288

Sommes de modules de sommes d'exponentielles

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038795121     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2003.209.261     Document Type: Article
Times cited : (23)

References (16)
  • 1
    • 0000845279 scopus 로고
    • Application de la formule des traces aux sommes trigonométriques dans cohomologie étale
    • [D], Séminaire de Géométribe Algébrique du Bois-Marie, SGA 4 1/2, Springer Verlag, Berlin, Zbl 0349.10031
    • [D] P. Deligne, Application de la formule des traces aux sommes trigonométriques dans Cohomologie Étale, Séminaire de Géométribe Algébrique du Bois-Marie, SGA 4 1/2, Lecture Notes in Math., 589, Springer Verlag, Berlin, 1977, 168-232, Zbl 0349.10031.
    • (1977) Lecture Notes in Math. , vol.589 , pp. 168-232
    • Deligne, P.1
  • 2
    • 0000102459 scopus 로고
    • Kloosterman sums and Fourier coefficients of cusp forms
    • [D-I], MR 84m:10015, Zbl 0502.10021
    • [D-I] J.-M. Deshouillers et H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Inv. Math., 70 (1982), 219-288, MR 84m:10015, Zbl 0502.10021.
    • (1982) Inv. Math. , vol.70 , pp. 219-288
    • Deshouillers, J.-M.1    Iwaniec, H.2
  • 3
    • 0031527888 scopus 로고    scopus 로고
    • Bilinear forms with Kloosterman fractions
    • [D-F-I], MR 97m:11109, Zbl 0873.11050
    • [D-F-I] W. Duke, J. Friedlander et H. Iwaniec, Bilinear forms with Kloosterman fractions, Inv. Math., 128 (1997), 23-43, MR 97m:11109, Zbl 0873.11050.
    • (1997) Inv. Math. , vol.128 , pp. 23-43
    • Duke, W.1    Friedlander, J.2    Iwaniec, H.3
  • 4
    • 0037772158 scopus 로고    scopus 로고
    • À la recherche de petites sommes d'exponentielles
    • [F-M], MR 2002k:11140
    • [F-M] E. Fouvry et P. Michel, À la recherche de petites sommes d'exponentielles, Ann. Institut Fourier, 52 (2002), 47-80, MR 2002k:11140.
    • (2002) Ann. Institut Fourier , vol.52 , pp. 47-80
    • Fouvry, E.1    Michel, P.2
  • 5
    • 0003953107 scopus 로고
    • [H-R], Academic Press, MR 54 #12689, Zbl 0298.10026
    • [H-R] H. Halberstam et H.E. Richert, Sieve Methods, Academic Press, 1974, MR 54 #12689, Zbl 0298.10026.
    • (1974) Sieve Methods
    • Halberstam, H.1    Richert, H.E.2
  • 6
    • 0003372915 scopus 로고
    • Divisors
    • [H-T], Cambridge University Press, MR 90a:11107, Zbl 0653.10001
    • [H-T] R.R. Hall et G. Tenenbaum, Divisors, Cambridge Tracts in Mathematics, 90, Cambridge University Press, 1988, MR 90a:11107, Zbl 0653.10001.
    • (1988) Cambridge Tracts in Mathematics , vol.90
    • Hall, R.R.1    Tenenbaum, G.2
  • 7
    • 0038420384 scopus 로고
    • On the distribution of roots of polynomial congruences
    • [Ho], MR 29 #1173, Zbl 0123.25802
    • [Ho] C. Hooley, On the distribution of roots of polynomial congruences, Mathematika, 11 (1964), 39-49, MR 29 #1173, Zbl 0123.25802.
    • (1964) Mathematika , vol.11 , pp. 39-49
    • Hooley, C.1
  • 8
    • 0000400921 scopus 로고
    • Sommes exponentielles
    • [Ka1], Société Mathématique de France, MR 82m:10059, Zbl 0469.12007
    • [Ka1] N.M. Katz, Sommes Exponentielles, Astérisque, 79, Société Mathématique de France, 1980, MR 82m:10059, Zbl 0469.12007.
    • (1980) Astérisque , vol.79
    • Katz, N.M.1
  • 9
    • 0003224140 scopus 로고
    • Gauss sums, kloosterman sums and monodromy groups
    • [Ka2], Princeton University Press, MR 91a:11028, Zbl 0675.14004
    • [Ka2] _, Gauss Sums, Kloosterman Sums and Monodromy Groups, Annals of Math. Studies, 116, Princeton University Press, 1988, MR 91a:11028, Zbl 0675.14004.
    • (1988) Annals of Math. Studies , vol.116
  • 10
    • 0003323999 scopus 로고
    • Exponential sums and differential equations
    • [Ka3], Princeton University Press, MR 93a:14009, Zbl 0731.14008
    • [Ka3] _, Exponential Sums and Differential Equations, Annals of Math. Studies, 124, Princeton University Press, 1990, MR 93a:14009, Zbl 0731.14008.
    • (1990) Annals of Math. Studies , vol.124
  • 11
    • 0001265239 scopus 로고
    • Petersson hypothesis for parabolic forms of weight 0 and Linnik hypothesis for sums of Kloosterman sums
    • [Ku], MR 81m:10053, Zbl 0427.10016
    • [Ku] N.V. Kuznetsov, Petersson hypothesis for parabolic forms of weight 0 and Linnik hypothesis for sums of Kloosterman sums, Math. Sbornik, 111(153) (1980), 334-383, MR 81m:10053, Zbl 0427.10016.
    • (1980) Math. Sbornik , vol.111 , Issue.153 , pp. 334-383
    • Kuznetsov, N.V.1
  • 12
    • 0010896287 scopus 로고
    • Autour de la conjecture de sato-tate
    • [Mi1], MR 97k:11118, Zbl 0844.11055
    • [Mi1] P. Michel, Autour de la conjecture de Sato-Tate, Inv. Math., 121 (1995), 61-78, MR 97k:11118, Zbl 0844.11055.
    • (1995) Inv. Math. , vol.121 , pp. 61-78
    • Michel, P.1
  • 13
    • 0037744242 scopus 로고    scopus 로고
    • Minoration de sommes d'exponentielles
    • [Mi2], MR 99i:11069, Zbl 0958.11056
    • [Mi2] _, Minoration de sommes d'exponentielles, Duke Math. J., 95 (1998), 227-240, MR 99i:11069, Zbl 0958.11056.
    • (1998) Duke Math. J. , vol.95 , pp. 227-240
  • 14
    • 0003288907 scopus 로고
    • Some applications of modular forms
    • [Sa], Cambridge University Press, MR 92k:11045, Zbl 0721.11015
    • [Sa] P. Sarnak, Some Applications of Modular Forms, Cambridge Tracts in Mathematics, 99, Cambridge University Press, 1990, MR 92k:11045, Zbl 0721.11015.
    • (1990) Cambridge Tracts in Mathematics , vol.99
    • Sarnak, P.1
  • 15
    • 0011348498 scopus 로고
    • A Brun-Titchmarsh theorem for multiplicative functions
    • [Sh], MR 81h:10065, Zbl 0412.10030
    • [Sh] P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math., 313 (1980), 161-170, MR 81h:10065, Zbl 0412.10030.
    • (1980) J. Reine Angew. Math. , vol.313 , pp. 161-170
    • Shiu, P.1
  • 16
    • 0011563830 scopus 로고
    • Sur la probabilité qu'un entier possède un diviseur dans un intervalle donné
    • [Te], MR 86c:11009, Zbl 0541.10038
    • [Te] G. Tenenbaum, Sur la probabilité qu'un entier possède un diviseur dans un intervalle donné, Comp. Math., 51 (1984), 243-263, MR 86c:11009, Zbl 0541.10038.
    • (1984) Comp. Math. , vol.51 , pp. 243-263
    • Tenenbaum, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.