On Weyl's inequality and Waring's problem for cubes
S Chowla, H Davenport (1961)
Acta Arithmetica
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S Chowla, H Davenport (1961)
Acta Arithmetica
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P. Pleasants (1966)
Acta Arithmetica
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M. B. S. Laporta, T. D. Wooley (2001)
Journal de théorie des nombres de Bordeaux
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We prove in this article that almost all large integers have a representation as the sum of a cube, a biquadrate, ..., and a tenth power.
R. Cook (1978)
Acta Arithmetica
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B. Birch, H Davenport (1962)
Acta Arithmetica
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Christopher Hooley (1988)
Journal für die reine und angewandte Mathematik
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C. Hooley (2016)
Acta Arithmetica
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On the assumption of a Riemann hypothesis for certain Hasse-Weil L-functions, it is shewn that a quaternary cubic form f(x) with rational integral coefficients and non-vanishing discriminant represents through integral vectors x almost all integers N having the (necessary) property that the equation f(x)=N is soluble in every p-adic field ℚₚ. The corresponding proposition for quinary forms is established unconditionally.
K. Thanigasalam (1987)
Acta Arithmetica
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(1971)
Acta Arithmetica
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R. Cook (1973)
Acta Arithmetica
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