On multiplicative functions which are additive on positive cubes

DOI10.1007/S00010-024-01118-5MaRDI QIDQ6657284

Poo-Sung Park

Publication date: 6 January 2025

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

zbMATH Keywords

multiplicative function\(k\)-additive uniquenesspositive cube

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

• Title not available (Why is that?)
• On multiplicative functions which are additive on sums of primes
• Sums of four cubes
• Additive uniqueness sets of arithmetic functions
• On analogues of Waring's problem for rational numbers.
• On \(k\)-additive uniqueness of the set of squares for multiplicative 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
• Every integer greater than 454 is the sum of at most seven positive cubes
• Multiplicative functions commutable with sums of squares
• On Waring's problem for cubes
• On Waring's problem for cubes.
• On Waring's problem for cubes

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