Sums of three cubes, II

Trevor D Wooley

Research output: Contribution to journalArticle (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 languageEnglish
Pages (from-to)73-100
Number of pages28
JournalActa Arithmetica
Volume170
Issue number1
DOIs
Publication statusPublished - 17 Jul 2015

Bibliographical note

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

Fingerprint Dive into the research topics of 'Sums of three cubes, II'. Together they form a unique fingerprint.

Cite this