Subconvexity for additive equations: pairs of undenary cubic forms

DOI10.1515/crelle-2012-0115zbMath1323.11019arXiv1208.2176OpenAlexW2963238995MaRDI QIDQ475828

Jörg Brüdern, Trevor D. Wooley

Publication date: 27 November 2014

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2176

zbMATH Keywords

diagonal cubic formHardy-Littlewood methodconvexity barrierDiophantine systemintegral solutions

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Cubic and quartic Diophantine equations (11D25)

Related Items

The cubic case of the main conjecture in Vinogradov's mean value theorem ⋮ Slim exceptional set for sums of mixed powers of primes ⋮ Subconvexity in the inhomogeneous cubic Vinogradov system ⋮ Rational solutions of pairs of diagonal equations, one cubic and one quadratic ⋮ Systems of cubic forms in many variables ⋮ Finite Saturation for Unirational Varieties