Sums of two \(k\)-th powers: an Omega estimate for the error term

DOI10.1007/PL00000391zbMath0880.11066OpenAlexW2050216475MaRDI QIDQ1359059

Werner Georg Nowak

Publication date: 2 February 1998

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000391

zbMATH Keywords

error termOmega estimateDirichlet summatory function

Mathematics Subject Classification ID

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

Related Items

A note on a problem of lattice points in a certain planar domain ⋮ On differences of two \(k\)th powers: An asymptotic formula for the mean-square of the error term ⋮ The true order of magnitude of Lamé rounding error sums

Cites Work

• New omega results in a weighted divisor problem
• New omega theorems for two classical lattice point problems
• On the average order of a class of arithmetical functions
• On sums of two \(k\)-th powers of numbers in residue classes. II
• Some extremal functions in Fourier analysis
• Exponential Sums and Lattice Points II
• On sums of two k-th powers: a mean-square bound for the error term
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