Squares: Additive questions and partitions

DOI10.1142/S1793042115400096zbMath1334.11080MaRDI QIDQ2942517

Robert C. Vaughan

Publication date: 11 September 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

circle methodsums of squares and cubespartitions into squares

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Analytic theory of partitions (11P82)

Related Items

Khinchin families and Hayman class, Polynomial partition asymptotics, Detailed asymptotic expansions for partitions into powers, Turán inequalities for \(k\)-th power partition functions, PARTITIONS INTO PRIME POWERS, Khinchin families, set constructions, partitions and exponentials, On the kth root partition function, Partitions into \(k\)th powers of terms in an arithmetic progression, Power partitions, The anisotropic chiral boson, Lifshitz scaling, microstate counting from number theory and black hole entropy, Power partitions and saddle-point method, The saddle-point method for general partition functions, SOME OBSERVATIONS AND SPECULATIONS ON PARTITIONS INTO d-TH POWERS

Cites Work

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• Sums of Squares, Cubes, and Higher Powers
• ERROR TERMS IN ADDITIVE PRIME NUMBER THEORY
• Proof that almost all Positive Integers are Sums of a Square, a Positive Cube and a Fourth Power
• Representation of Integers as Sums of a Square, a Positive Cube, and a Fourth Power of a Prime
• On the representation of a number as a sum of two fourth powers