Large improvements in Waring's problem
From MaRDI portal
Publication:1190611
DOI10.2307/2946566zbMath0754.11026OpenAlexW2315682800MaRDI QIDQ1190611
Publication date: 26 September 1992
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2946566
Waring's problemrepresentations of integershigher differencessum of higher powersupper bounds for \(G(k)\)Vaughan's new iterative method
Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Weyl sums (11L15)
Related Items (42)
Additive representation in thin sequences, II: The binary Goldbach problem ⋮ Vanishing Polynomial Sums ⋮ HUA‐TYPE ITERATION FOR MULTIDIMENSIONAL WEYL SUMS ⋮ The strict Waring problem for polynomial rings ⋮ On Waring's problem for four cubes ⋮ Further improvements in Waring's problem ⋮ 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 ⋮ When is an automatic set an additive basis? ⋮ The solubility of certain diophantine inequalities ⋮ On Vinogradov's mean value theorem ⋮ On the solution of Waring problem with a multiplicative error term: Dimension-free estimates ⋮ ON WARING'S PROBLEM IN SUMS OF THREE CUBES ⋮ On Waring's problem for larger powers ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ Decoupling estimates in Fourier analysis ⋮ Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023 ⋮ Vinogradov's mean value theorem via efficient congruencing ⋮ On the sum of four cubes ⋮ Random Diophantine equations. I ⋮ The representation of numbers as sums of unlike powers. II ⋮ Unnamed Item ⋮ Some new results in Waring's problem ⋮ Rational lines on cubic hypersurfaces ⋮ Quasi-Diagonal Behaviour in Certain Mean Value Theorems of Additive Number Theory ⋮ Waring’s theorem and the super Fermat problem for numbers and functions ⋮ Additive representation in thin sequences, I: Waring's problem for cubes ⋮ On Waring’s problem: Three cubes and a sixth power ⋮ On Waring's problem (elementary methods) ⋮ Rado's criterion over squares and higher powers ⋮ Further improvements in Waring's problem. II: Sixth powers ⋮ Asymptotic estimates for rational linear spaces on hypersurfaces ⋮ Representation by sums of unlike powers ⋮ Weyl sums, mean value estimates, and Waring's problem with friable numbers ⋮ Waring's problem in function fields ⋮ The representation of almost all numbers as sums of unlike powers ⋮ The asymptotic estimates and Hasse principle for multidimensional Waring's problem ⋮ On integer solutions of Parsell-Vinogradov systems ⋮ Sums of k ‐th powers in number fields ⋮ On simultaneous additive equations, IV ⋮ Integers without large prime factors ⋮ Waring's problem with digital restrictions
This page was built for publication: Large improvements in Waring's problem
