On a certain nonary cubic form and related equations

DOI10.1215/S0012-7094-95-08023-5zbMath0847.11052OpenAlexW2013899154WikidataQ106135758 ScholiaQ106135758MaRDI QIDQ1911601

Robert C. Vaughan, Trevor D. Wooley

Publication date: 24 June 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-08023-5

zbMATH Keywords

number of solutionsVinogradov's mean value theoremWeyl's inequalityHua's lemmanonary cubic form

Mathematics Subject Classification ID

Waring's problem and variants (11P05)

Related Items

The cubic case of the main conjecture in Vinogradov's mean value theorem, A PAUCITY ESTIMATE RELATED TO NEWTON SUMS OF ODD DEGREE, Mean value estimates for odd cubic Weyl sums, Moments of polynomials with random multiplicative coefficients, A quasi-paucity problem, THE PAUCITY PROBLEM FOR CERTAIN SYMMETRIC DIOPHANTINE EQUATIONS, A paucity problem for certain triples of diagonal equations, An instance where the major and minor arc integrals meet, Linear correlations of the divisor function, Some Diophantine equations with almost all solutions trivial, Rational curves on K3 surfaces in ℙ¹×ℙ¹×ℙ¹, Varieties with too many rational points, The number of integer points on Vinogradov's quadric, Problems and results on the distribution of algebraic points on algebraic varieties, Rational points on linear slices of diagonal hypersurfaces, The proof of the \(l^2\) decoupling conjecture

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