The representation of almost all numbers as sums of unlike powers

M. B. S. Laporta; T. D. Wooley

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Improvement on Davenport's iterative method and new results in additive number theory III

K. Thanigasalam (1987)

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Trigonometric sums over primes III

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New bounds are given for the exponential sum $\sum_{P \leq p < 2 P}^{} e (α p^{k})$ were $k \geq 5, p$ denotes a prime and $e (x) = exp (2 π i x)$ .

Sums of three cubes, II

Trevor D. Wooley (2015)

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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.