Sums of three cubes, II

Trevor D. Wooley

Acta Arithmetica (2015)

  • Volume: 170, Issue: 1, page 73-100
  • ISSN: 0065-1036

Abstract

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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.

How to cite

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Trevor D. Wooley. "Sums of three cubes, II." Acta Arithmetica 170.1 (2015): 73-100. <http://eudml.org/doc/279002>.

@article{TrevorD2015,
abstract = {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.},
author = {Trevor D. Wooley},
journal = {Acta Arithmetica},
keywords = {sums of three cubes; waring's problem; Weyl sums},
language = {eng},
number = {1},
pages = {73-100},
title = {Sums of three cubes, II},
url = {http://eudml.org/doc/279002},
volume = {170},
year = {2015},
}

TY - JOUR
AU - Trevor D. Wooley
TI - Sums of three cubes, II
JO - Acta Arithmetica
PY - 2015
VL - 170
IS - 1
SP - 73
EP - 100
AB - 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.
LA - eng
KW - sums of three cubes; waring's problem; Weyl sums
UR - http://eudml.org/doc/279002
ER -

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