On \(k\)-additive uniqueness of the set of squares for multiplicative functions

DOI10.1007/S00010-017-0517-4zbMath1422.11006arXiv1612.00897OpenAlexW2560697522MaRDI QIDQ1647754

Poo-Sung Park

Publication date: 26 June 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00897

zbMATH Keywords

functional equationmultiplicative function\(k\)-additive uniqueness set

Mathematics Subject Classification ID

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

Related Items (7)

On multiplicative functions additive on Goldbach-type sets ⋮ Multiplicative functions additive on generalized pentagonal numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multiplicative functions additive on polygonal numbers ⋮ Multiplicative functions which are additive on triangular numbers ⋮ ON A -ADDITIVE UNIQUENESS SET FOR MULTIPLICATIVE FUNCTIONS

Cites Work

• Unnamed Item
• Unnamed Item
• On multiplicative functions which are additive on sums of primes
• Additive uniqueness sets of arithmetic functions
• A characterization of the identity function with equation \(f(p+q+r)=f(p)+f(q)+f(r)\)
• Characterization of arithmetic functions that preserve the sum-of-squares operation
• Multiplicative functions commutable with sums of squares

This page was built for publication: On \(k\)-additive uniqueness of the set of squares for multiplicative functions