The algebraic independence of arithmetic functions. I: Multiplicative functions

DOI10.1215/S0012-7094-48-01525-7zbMath0029.25101OpenAlexW1579453763MaRDI QIDQ2647456

Harold N. Shapiro, Richard Bellman

Publication date: 1948

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-48-01525-7

zbMATH Keywords

multiplicative functionsalgebraic independencearithmetic functions

Mathematics Subject Classification ID

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

Related Items (3)

The algebraic independence of the sum of divisors functions ⋮ Dependence of Arithmetic Functions and Dirichlet Series ⋮ Applications of differential algebra to algebraic independence of arithmetic functions

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