Multiplicative functions commutable with sums of squares

DOI10.1142/S179304211850029XzbMath1420.11013arXiv1608.08270OpenAlexW2962808107MaRDI QIDQ3133126

Poo-Sung Park

Publication date: 13 February 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08270

zbMATH Keywords

multiplicative functionsum of squares

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (4)

On \(k\)-additive uniqueness of the set of squares for multiplicative functions ⋮ Multiplicative functions additive on generalized pentagonal numbers ⋮ Additive uniqueness of PRIMES − 1 for multiplicative functions ⋮ Multiplicative functions additive on polygonal numbers

Cites Work

• On multiplicative functions with \(f(p+q+n_{0})=f(p)+f(q)+f(n_{0})\)
• On multiplicative functions which are additive on sums of primes
• Additive uniqueness sets of arithmetic functions
• A new characteristic of the identity function
• 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
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