The trigonometry of numbers

DOI10.1215/S0012-7094-68-03581-3zbMath0169.37301OpenAlexW2037553250MaRDI QIDQ2531334

David Rearick

Publication date: 1968

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-68-03581-3

zbMATH Keywords

Möbius functiongenerating functionsseries representationsexponential operatorlogarithm operator\(r\)th power operatoridentities for generalized binomial coefficientnonlinear operators on arithmetic functionstrigonometric operator

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (7)

The convolution ring of arithmetic functions and symmetric polynomials ⋮ Independence measures of arithmetic functions ⋮ Distributive property of completely multiplicative functions ⋮ Combinatorial aspects of the generalized Euler's totient ⋮ Derivation of arithmetical functions under the Dirichlet convolution ⋮ A note on characterizing completely multiplicative functions using generalized Möbius functions ⋮ A correspondence between the isobaric ring and multiplicative arithmetic functions

This page was built for publication: The trigonometry of numbers