메뉴 건너뛰기
Journal of the American Mathematical Society
Volumn 18, Issue 2, 2005, Pages 477-499
Mordell's exponential sum estimate revisited
Author keywords

[No Author keywords available]
Indexed keywords

EID: 18144429826     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-05-00476-5     Document Type: Article
Times cited : (96)
References (13)
  • 1
    • 18144371797 scopus 로고    scopus 로고
    • Estimates on exponential sums related to the Diffie-Hellman distributions
    • [B] to appear in
    • [B] J. Bourgain, Estimates on exponential sums related to the Diffie-Hellman distributions, to appear in GAFA.
    • GAFA
    • Bourgain, J.1
  • 3
    • 33646375214 scopus 로고    scopus 로고
    • Estimate for the number of sums and products and for exponential sums in fields of prime order
    • [B-G-K] submitted to
    • [B-G-K] J. Bourgain, A. Glibichuk, S. Konyagin, Estimate for the number of sums and products and for exponential sums in fields of prime order, submitted to J. London Math. Soc.
    • J. London Math. Soc.
    • Bourgain, J.1    Glibichuk, A.2    Konyagin, S.3
  • 4
    • 0041704574 scopus 로고    scopus 로고
    • Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order
    • [B-K] MR1998834 (2004g:11067)
    • [B-K] J. Bourgain, S. Konyagin, Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order, CR Acad. Sci., Paris 337 (2003), no 2, 75-80. MR1998834 (2004g:11067)
    • (2003) CR Acad. Sci., Paris , vol.337 , Issue.2 , pp. 75-80
    • Bourgain, J.1    Konyagin, S.2
  • 5
    • 2442427378 scopus 로고    scopus 로고
    • A sum-product theorem in finite fields and applications
    • [B-K-T] MR2053599
    • [B-K-T] J. Bourgain, N. Katz, T. Tao, A sum-product theorem in finite fields and applications, Geom. Funct. Anal. 14 (2004), no. 1, 27-57. MR2053599
    • (2004) Geom. Funct. Anal. , vol.14 , Issue.1 , pp. 27-57
    • Bourgain, J.1    Katz, N.2    Tao, T.3
  • 6
    • 13544269592 scopus 로고    scopus 로고
    • An improved Mordell type bound for exponential sums
    • [C-P1] (electronic). MR2093050
    • [C-P1] T. Cochrane, C. Pinner, An improved Mordell type bound for exponential sums, Proc. Amer. Math. Soc. 133 (2005), no. 2, 313-320 (electronic). MR2093050
    • (2005) Proc. Amer. Math. Soc. , vol.133 , Issue.2 , pp. 313-320
    • Cochrane, T.1    Pinner, C.2
  • 7
    • 0142025622 scopus 로고    scopus 로고
    • Stepanov's method applied to binomial exponential sums
    • [C-P2] MR2013138 (2004k:11136)
    • [C-P2] _, Stepanov's method applied to binomial exponential sums, Quart. J. Math. 54 (2003), No 3, 243-255. MR2013138 (2004k:11136)
    • (2003) Quart. J. Math. , vol.54 , Issue.3 , pp. 243-255
  • 8
    • 0035647482 scopus 로고    scopus 로고
    • Period of the power generator and small values of the Carmichael function
    • [F-P-S] MR1836921 (2002g:11112)
    • [F-P-S] J. Friedlander, C. Pomerance, I. Shparlinsky, Period of the power generator and small values of the Carmichael function, Math. Comp. 70 (2001), no. 236, 1591-1605. MR1836921 (2002g:11112)
    • (2001) Math. Comp. , vol.70 , Issue.236 , pp. 1591-1605
    • Friedlander, J.1    Pomerance, C.2    Shparlinsky, I.3
  • 9
    • 0039923077 scopus 로고    scopus 로고
    • On the distribution of the power generator
    • [F-S] MR1836920 (2002f:11107)
    • [F-S] J. Friedlander, I. Shparlinsky, On the distribution of the power generator, Math. Comp., Vol. 70, No. 236, (2001), 1575-1589. MR1836920 (2002f:11107)
    • (2001) Math. Comp. , vol.70 , Issue.236 , pp. 1575-1589
    • Friedlander, J.1    Shparlinsky, I.2
  • 10
    • 0032361262 scopus 로고    scopus 로고
    • A new proof of Szemerédi's theorem for arithmetic progressions of length 4
    • [Go] MR1631259 (2000d:11019)
    • [Go] T. Govers, A new proof of Szemerédi's theorem for arithmetic progressions of length 4, GAFA 8 (1998), no. 3, 529-551. MR1631259 (2000d:11019)
    • (1998) GAFA , vol.8 , Issue.3 , pp. 529-551
    • Govers, T.1
  • 12
    • 0013524759 scopus 로고
    • On a sum analogous to a Gauss sum
    • [Mor]
    • [Mor] L.J. Mordell, On a sum analogous to a Gauss sum, Quart. J. Math. 3 (1932), 161-162.
    • (1932) Quart. J. Math. , vol.3 , pp. 161-162
    • Mordell, L.J.1
  • 13
    • 0003705356 scopus 로고    scopus 로고
    • [Na] Springer-Verlag, NY, MR1395371 (97e:11004); MR1477155 (98f:11011)
    • [Na] M. Nathanson, Additive Number Theory, Springer-Verlag, NY, 1996. MR1395371 (97e:11004); MR1477155 (98f:11011)
    • (1996) Additive Number Theory
    • Nathanson, M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.