Quasi-Diagonal Behaviour in Certain Mean Value Theorems of Additive Number Theory

DOI10.2307/2152728zbMath0786.11053OpenAlexW4236547086MaRDI QIDQ4276528

Trevor D. Wooley

Publication date: 15 May 1994

Full work available at URL: https://doi.org/10.2307/2152728

zbMATH Keywords

exponential sumsWeyl sumsquasi-diagonal mean value

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Weyl sums (11L15)

Related Items (9)

THE DENSITY OF NUMBERS REPRESENTED BY DIAGONAL FORMS OF LARGE DEGREE ⋮ Some remarks on Vinogradov's mean value theorem and Tarry's problem ⋮ Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour ⋮ On Weyl sums for smaller exponents ⋮ Vinogradov's mean value theorem via efficient congruencing ⋮ Vinogradov's mean value theorem via efficient congruencing. II ⋮ New estimate in Vinogradov's mean-value theorem ⋮ On Vinogradov's mean value theorem: strongly diagonal behaviour via efficient congruencing ⋮ On Weyl's inequality, Hua's lemma, and exponential sums over binary forms.

Cites Work

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• A new iterative method in Waring's problem
• Diophantine approximations and diophantine equations
• Large improvements in Waring's problem
• Further improvements in Waring's problem
• Old and new conjectured diophantine inequalities
• Vanishing sums in function fields
• A New Iterative Method in Waring's Problem II
• On Vinogradov's mean value theorem
• On exponential sums over smooth numbers.

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