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Volumn 357, Issue 6, 2005, Pages 2527-2534

Upper bounds for the number of solutions of a diophantine equation

Author keywords

Diophantine equation; Karatsuba's theorem; Konyagin's estimate

Indexed keywords


EID: 20144384391     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-04-03611-6     Document Type: Article
Times cited : (13)

References (11)
  • 1
    • 0012068086 scopus 로고    scopus 로고
    • A method for estimating the Li-norm of an exponential sum
    • MR99h:11093
    • S. V. Bochkarev, A method for estimating the Li-norm of an exponential sum, Proc. Steklov Inst. Math., 218, 74-78 (1997). MR99h:11093
    • (1997) Proc. Steklov Inst. Math. , vol.218 , pp. 74-78
    • Bochkarev, S.V.1
  • 3
    • 0041985281 scopus 로고    scopus 로고
    • 1-norm of exponential sums
    • MR2002f:11109
    • 1-norm of exponential sums, Math. Notes, 68, 713-720 (2000). MR2002f:11109
    • (2000) Math. Notes , vol.68 , pp. 713-720
    • Garaev, M.Z.1
  • 4
    • 0041333017 scopus 로고    scopus 로고
    • On the Waring-Goldbach problem with small non-integer exponent
    • 108.3. MR2004c:11183
    • M. Z. Garaev, On the Waring-Goldbach problem with small non-integer exponent, Acta Arith. 108.3 (2003), 297-302. MR2004c:11183
    • (2003) Acta Arith. , pp. 297-302
    • Garaev, M.Z.1
  • 5
    • 0346166141 scopus 로고    scopus 로고
    • 1-norms of exponential sums and the corresponding additive problem
    • MR2002k:11141
    • 1-norms of exponential sums and the corresponding additive problem, Z. Anal. Anwendungen, 20, 999-1006 (2001). MR2002k:11141
    • (2001) Z. Anal. Anwendungen , vol.20 , pp. 999-1006
    • Garaev, M.Z.1    Kueh, K.-L.2
  • 6
    • 20144385502 scopus 로고    scopus 로고
    • 1-norm of an exponential sum
    • MR2000a:11113
    • 1-norm of an exponential sum, Math. Notes, 64, 401-404 (1998). MR2000a:11113
    • (1998) Math. Notes , vol.64 , pp. 401-404
    • Karatsuba, A.A.1
  • 10
    • 0001021123 scopus 로고
    • On a variant of Waring-Goldbach's problem
    • (in Russian). MR14:451d
    • I. I. Piatetski-Shapiro, On a variant of Waring-Goldbach's problem, Mat. Sb. 30 (1952), 105-120 (in Russian). MR14:451d
    • (1952) Mat. Sb. , vol.30 , pp. 105-120
    • Piatetski-Shapiro, I.I.1
  • 11
    • 84953751498 scopus 로고
    • Cambridge Univ. Press, Cambridge. MR21:6498
    • A. Zygmund, Trigonometric Series, Vol. 1. Cambridge Univ. Press, Cambridge (1959). MR21:6498
    • (1959) Trigonometric Series , vol.1
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.