Sums of three cubes, II

• Autorzy: Trevor D. Wooley
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11L15: Weyl sums
• 11P05: Waring's problem and variants
• 11P55: Applications of the Hardy-Littlewood method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 170
• Numer: 1
• Strony: 73-100

Daty

wydano

2015

Twórcy

autor

Trevor D. Wooley

• School of Mathematics, University of Bristol, University Walk, Clifton, Bristol BS8 1TW, United Kingdom

Identyfikatory

DOI

10.4064/aa170-1-6