On differences of two \(k\)th powers: An asymptotic formula for the mean-square of the error term

DOI10.1006/jnth.1998.2352zbMath0937.11045OpenAlexW1970092957MaRDI QIDQ1293683

Manfred Kühleitner

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2352

zbMATH Keywords

lattice points in large regionsdivisor functiondifference of \(k\)th powers

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Lattice points in specified regions (11P21)

Related Items (1)

The asymptotic behaviour of the mean-square of fractional part sums

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New omega theorems for two classical lattice point problems
• On differences of two \(k\)th powers of integers
• On sums of two \(k\)-th powers of numbers in residue classes. II
• Sums of two \(k\)-th powers: an Omega estimate for the error term
• Remarks on a lattice point problem
• Some extremal functions in Fourier analysis
• On sums of two cubes: an Ω₊-estimate for the error term
• Exponential Sums and Lattice Points II
• On sums and differences of two relative prime cubes
• On sums of two k-th powers: a mean-square bound for the error term
• Mittlere Darstellungen natürlicher Zahlen als Differenz zweier k-ter Potenzen
• On the Linear Independence of Fractional Powers of Integers

This page was built for publication: On differences of two \(k\)th powers: An asymptotic formula for the mean-square of the error term