The representation of numbers as sums of unlike powers. II

DOI10.1090/S0894-0347-96-00193-2zbMath0866.11054MaRDI QIDQ5687287

Kevin Ford

Publication date: 11 December 1996

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

iterative methodcircle methodgeneralization of Waring's problemrepresentation of numbers as sums of unlike powers

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55)

Related Items (6)

On Waring's problem: Beyond Freĭman's theorem ⋮ On Waring’s problem: Three cubes and a sixth power ⋮ A Diophantine problem with unlike powers of primes ⋮ Representation by sums of unlike powers ⋮ Even ascending powers ⋮ The representation of almost all numbers as sums of unlike powers

Cites Work

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• A new iterative method in Waring's problem
• Large improvements in Waring's problem
• A Generalization of Waring's Problem†
• A problem in additive number theory
• A New Iterative Method in Waring's Problem II
• On Waring's Problem: Some Refinements
• On sums of powers and a related problem
• The application of a new mean value theorem to the fractional parts of polynomials
• The Representation of Numbers as Sums of Unlike Powers
• On the Sum

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