DAVENPORT'S METHOD AND SLIM EXCEPTIONAL SETS: THE ASYMPTOTIC FORMULAE IN WARING'S PROBLEM

DOI10.1112/S0025579310001257zbMath1238.11091arXiv1004.2670MaRDI QIDQ3584593

Koichi Kawada, Trevor D. Wooley

Publication date: 30 August 2010

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2670

zbMATH Keywords

Waring's problemasymptotic formulae

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55)

Related Items

ON WARING'S PROBLEM: TWO SQUARES AND THREE BIQUADRATES, Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Cites Work

• Unnamed Item
• The Hasse principle for pairs of diagonal cubic forms
• Slim Exceptional Sets in Waring's Problem: One Square and Five Cubes
• On Waring's problem for smaller exponents. II
• Weyl's Inequality, Hua's Inequality, and Waring's Problem
• On Vinogradov's mean value theorem
• On the Representations of a Number as the Sum of Four Cubes: I
• The asymptotic formula in Waring's problem
• The density of rational lines on cubic hypersurfaces
• Slim Exceptional Sets for Sums of Cubes
• Slim exceptional sets for sums of fourth and fifth powers
• Slim exceptional sets and the asymptotic formula in Waring’s problem
• Sums of three cubes
• On Sums of Positive Integral k-TH Powers