A Montgomery-Hooley theorem for sums of two cubes

DOI10.1007/S40879-021-00495-4zbMath1505.11022OpenAlexW3201234838MaRDI QIDQ2667150

Jörg Brüdern, Robert C. Vaughan

Publication date: 24 November 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-021-00495-4

zbMATH Keywords

variancearithmetic progressionsHardy-Littlewood methodsums of cubes

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Asymptotic results on arithmetic functions (11N37) Applications of the Hardy-Littlewood method (11P55) Arithmetic progressions (11B25)

Related Items (2)

Sums of two unlike powers in arithmetic progressions ⋮ A Montgomery-Hooley theorem for the number of Goldbach representations

Cites Work

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• Additive representation in short intervals. II: Sums of two like powers
• On the representations of a number as the sum of two cubes
• On the numbers that are representable as the sum of two cubes.
• On the Barban-Davenport-Halberstam theorem. I.
• On a variance associated with the distribution of general sequences in arithmetic progressions. II
• Hilbert's Inequality
• The density of rational points on cubic surfaces
• A variance for k-free numbers in arithmetic progressions
• On a Principle of Lipschitz
• Primes in arithmetic progressions

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