Sums of three cubes, II

Trevor D Wooley

doi:10.4064/aa170-1-6

Sums of three cubes, II

Trevor D Wooley

Research output: Contribution to journal › Article (Academic Journal) › peer-review

4 Citations (Scopus)

Abstract

Estimates are provided for sth moments of cubic smooth Weyl
sums, when 4 ≤s≤8, by enhancing the author's iterative method that de-
livers 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.

Original language	English
Pages (from-to)	73-100
Number of pages	28
Journal	Acta Arithmetica
Volume	170
Issue number	1
DOIs	https://doi.org/10.4064/aa170-1-6
Publication status	Published - 17 Jul 2015

Bibliographical note

Author's copy available at http://arxiv.org/pdf/1502.01944v1.pdf

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10.4064/aa170-1-6

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abstract = "Estimates are provided for sth moments of cubic smooth Weylsums, when 4 ≤s≤8, by enhancing the author's iterative method that de-livers estimates beyond classical convexity. As a consequence, an improvedlower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.",

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N2 - Estimates are provided for sth moments of cubic smooth Weylsums, when 4 ≤s≤8, by enhancing the author's iterative method that de-livers estimates beyond classical convexity. As a consequence, an improvedlower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.

AB - Estimates are provided for sth moments of cubic smooth Weylsums, when 4 ≤s≤8, by enhancing the author's iterative method that de-livers estimates beyond classical convexity. As a consequence, an improvedlower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.

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DO - 10.4064/aa170-1-6

M3 - Article (Academic Journal)

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