A Generalization of Euler's φ-Function

DOI10.2307/2304963zbMath0030.29504OpenAlexW2329459089MaRDI QIDQ5786606

Victor Klee

Publication date: 1948

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2304963

zbMATH Keywords

number-theoretic functions

Mathematics Subject Classification ID

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

Related Items (10)

Asymptotic formulas for generalized gcd-sum and lcm-sum functions over \(r\)-regular integers (mod \(n^r\)) ⋮ Mean value estimates of gcd and lcm-sums ⋮ A Menon-type identity using Klee's function ⋮ Proofs, generalizations and analogs of Menon's identity: a survey ⋮ Sum functions of k-ary and semi-k-ary divisors ⋮ Combinatorial aspects of the generalized Euler's totient ⋮ A New Generalization of Three Identities of Ramanujan and Suryanarayana ⋮ On a generalization of the Dedekind-Hölder theorem ⋮ A Menon-type identity concerning Dirichlet characters and a generalization of the gcd function ⋮ On the sums \(\sum _{n\leq x}A(f(n))\) and \(\sum _{p\leq x}A(f(p))\)

This page was built for publication: A Generalization of Euler's φ-Function