Improvement on Davenport's iterative method and new results in additive number theory II. Proof that G(5)≤22
K. Thanigasalam (1986)
Acta Arithmetica
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Displaying similar documents to “Improvement on Davenport's iterative method and new results in additive number theory III”
Improvement on Davenport's iterative method and new results in additive number theory II. Proof that G(5)≤22
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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.
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Estimates are provided for sth moments of cubic smooth Weyl sums, when 4 ≤ s ≤ 8, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.