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Volumn 129, Issue 2, 2007, Pages 103-146

Sums of two relatively prime cubes

Author keywords

Bilinear exponential sums; Riemann hypothesis; Sums of two relatively prime cubes

Indexed keywords


EID: 36248996436     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa129-2-1     Document Type: Article
Times cited : (30)

References (27)
  • 1
    • 0001404697 scopus 로고
    • The square-free divisor problem
    • R. C. Baker, The square-free divisor problem, Quart. J. Math. Oxford 45 (1994), 269-277.
    • (1994) Quart. J. Math. Oxford , vol.45 , pp. 269-277
    • Baker, R.C.1
  • 5
    • 38249025340 scopus 로고
    • Exponential sums with monomials
    • E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333.
    • (1989) J. Number Theory , vol.33 , pp. 311-333
    • Fouvry, E.1    Iwaniec, H.2
  • 7
    • 0001447117 scopus 로고
    • Prime numbers in short intervals and a generalized Vaughan identity
    • D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan identity, Canad. J. Math. 34 (1982), 1365-1377.
    • (1982) Canad. J. Math , vol.34 , pp. 1365-1377
    • Heath-Brown, D.R.1
  • 8
    • 0001436282 scopus 로고
    • The Pjateckii-Sapiro prime number theorem
    • _, The Pjateckii-Sapiro prime number theorem, J. Number Theory 16 (1983), 242-266.
    • (1983) J. Number Theory , vol.16 , pp. 242-266
    • Heath-Brown, D.R.1
  • 10
    • 18244373370 scopus 로고    scopus 로고
    • Exponential sums and the Riemann zeta function V
    • _, Exponential sums and the Riemann zeta function V, Proc. London Math. Soc. (3) 90 (2005), 1-41.
    • (2005) Proc. London Math. Soc. (3) , vol.90 , pp. 1-41
    • Huxley, M.N.1
  • 11
    • 0010141793 scopus 로고
    • The distribution of square-free numbers
    • C.-H. Jia, The distribution of square-free numbers, Sci. China Ser. A 36 (1993), 154-169.
    • (1993) Sci. China Ser. A , vol.36 , pp. 154-169
    • Jia, C.-H.1
  • 13
    • 23044519276 scopus 로고    scopus 로고
    • On sums of two kth powers: An asymptotic formula for the mean square of the error term
    • M. Kühleitner, On sums of two kth powers: an asymptotic formula for the mean square of the error term, Acta Arith. 92 (2000), 263-276.
    • (2000) Acta Arith , vol.92 , pp. 263-276
    • Kühleitner, M.1
  • 15
    • 0002876531 scopus 로고
    • On the number of primitive lattice points in plane domains
    • B. Z. Moroz, On the number of primitive lattice points in plane domains, Monatsh. Math. 99 (1985), 37-43.
    • (1985) Monatsh. Math , vol.99 , pp. 37-43
    • Moroz, B.Z.1
  • 16
    • 0000559718 scopus 로고
    • Lattice points in planar domains: Applications of Huxley's discrete Hardy-Littlewood method
    • Vienna, Springer, 1990
    • W. Müller and W. G. Nowak, Lattice points in planar domains: applications of Huxley's "discrete Hardy-Littlewood method", in: Number-Theoretic Analysis (Vienna, 1988-1989), Springer, 1990, 139-164.
    • (1988) Number-Theoretic Analysis , pp. 139-164
    • Müller, W.1    Nowak, W.G.2
  • 17
    • 0009440225 scopus 로고
    • On sums of two coprime k-th powers
    • W. G. Nowak, On sums of two coprime k-th powers, Monatsh. Math. 108 (1989), 47-57.
    • (1989) Monatsh. Math , vol.108 , pp. 47-57
    • Nowak, W.G.1
  • 18
    • 0009365012 scopus 로고
    • On sums and differences of two relative prime cubes
    • _, On sums and differences of two relative prime cubes, Analysis 15 (1995), 325-341.
    • (1995) Analysis , vol.15 , pp. 325-341
    • Nowak, W.G.1
  • 19
    • 0009440226 scopus 로고    scopus 로고
    • Primitive lattice points in starlike planar sets
    • _, Primitive lattice points in starlike planar sets, Pacific J. Math. 170 (1997), 163-178.
    • (1997) Pacific J. Math , vol.170 , pp. 163-178
    • Nowak, W.G.1
  • 20
    • 0009313058 scopus 로고    scopus 로고
    • On sums and differences of two relative prime cubes II
    • _, On sums and differences of two relative prime cubes II, Tatra Mt. Math. Publ. 11 (1997), 23-34.
    • (1997) Tatra Mt. Math. Publ , vol.11 , pp. 23-34
    • Nowak, W.G.1
  • 21
    • 33646777796 scopus 로고    scopus 로고
    • Three-dimensional exponential sums with monomials
    • O. Robert and P. Sargos, Three-dimensional exponential sums with monomials, J. Reine Angew. Math. 591 (2006), 1-20.
    • (2006) J. Reine Angew. Math , vol.591 , pp. 1-20
    • Robert, O.1    Sargos, P.2
  • 23
    • 84968464817 scopus 로고
    • Some extremal problems in Fourier analysis
    • J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216.
    • (1985) Bull. Amer. Math. Soc , vol.12 , pp. 183-216
    • Vaaler, J.D.1
  • 24
    • 0032337804 scopus 로고    scopus 로고
    • On the average number of unitary factors of finite abelian groups
    • J. Wu, On the average number of unitary factors of finite abelian groups, Acta Arith. 84 (1998), 17-29.
    • (1998) Acta Arith , vol.84 , pp. 17-29
    • Wu, J.1
  • 25
    • 15544364368 scopus 로고    scopus 로고
    • On sums of two coprime k-th powers
    • W. Zhai, On sums of two coprime k-th powers, Monatsh. Math. 144 (2005), 233-250.
    • (2005) Monatsh. Math , vol.144 , pp. 233-250
    • Zhai, W.1
  • 27
    • 36248984572 scopus 로고    scopus 로고
    • ibid. 148 (2006), 153-172.
    • ibid. 148 (2006), 153-172.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.