Primitive lattice points in rational ellipses and related arithmetic functions

DOI10.1007/BF01501488zbMath0678.10032OpenAlexW1967261964MaRDI QIDQ1123923

Werner Georg Nowak

Publication date: 1988

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178390

zbMATH Keywords

Riemann hypothesisarithmetical functionsummatory functionsasymptotic formulaeprimitive lattice pointsPythagorean trianglesrational ellipse problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Waring's problem and variants (11P05) Lattice points in specified regions (11P21)

Related Items (6)

Order statistics in the Farey sequences in sublinear time and counting primitive lattice points in polygons ⋮ On sums of two coprime k-th powers ⋮ Unnamed Item ⋮ Non-Euclidean visibility problems ⋮ Hyperbolic lattice point problems ⋮ Visible lattice points along curves

Cites Work

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• On the number of primitive lattice points in plane domains
• On the divisor and circle problems
• On a problem in the additive theory of numbers. IV
• Conditional Asymptotic Formulae for a Class of Arithmetic Functions

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