Displaying similar documents to “The representation of almost all numbers as sums of unlike powers”

Trigonometric sums over primes III

Glyn Harman (2003)

Journal de théorie des nombres de Bordeaux

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New bounds are given for the exponential sum P p < 2 P e ( α p k ) were k 5 , p denotes a prime and e ( x ) = exp ( 2 π i x ) .

Sums of three cubes, II

Trevor D. Wooley (2015)

Acta Arithmetica

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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.