Sums of three cubes, II

Trevor D Wooley

Research output: Contribution to journalArticle (Academic Journal)peer-review

7 Citations (Scopus)


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
Issue number1
Publication statusPublished - 17 Jul 2015

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