On Vinogradov's mean value theorem
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Publication:4027944
DOI10.1112/S0025579300015102zbMath0769.11036MaRDI QIDQ4027944
Publication date: 3 March 1993
Published in: Mathematika (Search for Journal in Brave)
upper boundsiterative methodsasymptotic formulaVinogradov's mean value theoremsystem of diophantine equationsWaring's problem for \(k\)-th powers
Related Items (21)
On the Vinogradov mean value ⋮ HUA‐TYPE ITERATION FOR MULTIDIMENSIONAL WEYL SUMS ⋮ Some remarks on Vinogradov's mean value theorem and Tarry's problem ⋮ Diophantine inequalities and quasi-algebraically closed fields ⋮ NP-Hardness of Reed--Solomon Decoding, and the Prouhet--Tarry--Escott Problem ⋮ Multigrade efficient congruencing and Vinogradov's mean value theorem ⋮ Some exponent pairs by Vinogradov's method ⋮ On Weyl sums for smaller exponents ⋮ 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 ⋮ New estimate in Vinogradov's mean-value theorem ⋮ A note on Weyl's inequality for eighth powers ⋮ On Weyl's inequality, Hua's lemma, and exponential sums over binary forms. ⋮ Quasi-Diagonal Behaviour in Certain Mean Value Theorems of Additive Number Theory ⋮ The value distribution of additive arithmetic functions on a line ⋮ DAVENPORT'S METHOD AND SLIM EXCEPTIONAL SETS: THE ASYMPTOTIC FORMULAE IN WARING'S PROBLEM ⋮ Asymptotic estimates for rational linear spaces on hypersurfaces ⋮ Effective Vinogradov's mean value theorem via efficient boxing ⋮ The asymptotic estimates and Hasse principle for multidimensional Waring's problem ⋮ On the Distribution of Solutions to Diophantine Equations
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