A mean value theorem on differences of two \(k\)-th powers of numbers in residue classes

DOI10.1007/BF02568276zbMath0735.11047MaRDI QIDQ1176276

Gerald Kuba

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155639

zbMATH Keywords

lattice restdiscrete Hardy-Littlewood methodgeneralized circle problemdifferences of k-th powerslattice points in planar domains

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Lattice points in specified regions (11P21)

Cites Work

• A mean-value theorem on sums of two k-th powers of numbers in residue classes
• On a mean-value theorem concerning differences of two k-th powers
• Exponential Sums and Lattice Points
• Mittlere Darstellungen natürlicher Zahlen als Differenz zweier k-ter Potenzen

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