Some remarks on Vinogradov's mean value theorem and Tarry's problem

DOI10.1007/BF01320189zbMath0881.11043OpenAlexW1986068415MaRDI QIDQ1364385

Trevor D. Wooley

Publication date: 16 February 1998

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178747

zbMATH Keywords

asymptotic formulaVinogradov's mean value theoremTarry's problemsystem of symmetric diagonal equations

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72)

Related Items (6)

On the Vinogradov mean value ⋮ Multigrade efficient congruencing and Vinogradov's mean value theorem ⋮ Vinogradov's mean value theorem via efficient congruencing ⋮ Vinogradov's mean value theorem via efficient congruencing. II ⋮ APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM ⋮ Polynomials with high multiplicity at unity and Tarry's problem

Cites Work

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• A new iterative method in Waring's problem
• Large improvements in Waring's problem
• On Vinogradov's mean value theorem
• Quasi-Diagonal Behaviour in Certain Mean Value Theorems of Additive Number Theory
• ON TARRY'S PROBLEM (I)
• Equal sums of like powers
• The Prouhet-Lehmer Problem
• Improvement of a Result of Wright

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