A characterization of the identity function with equation \(f(p+q+r)=f(p)+f(q)+f(r)\)
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Publication:2428637
DOI10.1007/s00493-011-2739-8zbMath1265.11006OpenAlexW1976685951MaRDI QIDQ2428637
Publication date: 26 April 2012
Published in: Combinatorica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00493-011-2739-8
Related Items (13)
On multiplicative functions with \(f(p+q+n_{0})=f(p)+f(q)+f(n_{0})\) ⋮ On \(k\)-additive uniqueness of the set of squares for multiplicative functions ⋮ On multiplicative functions additive on Goldbach-type sets ⋮ On multiplicative functions which are additive on sums of primes ⋮ Multiplicative functions additive on generalized pentagonal numbers ⋮ Characterization of arithmetic functions that preserve the sum-of-squares operation ⋮ Additive uniqueness of PRIMES − 1 for multiplicative functions ⋮ A characterization of the identity with functional equations. II ⋮ Unnamed Item ⋮ Multiplicative functions additive on polygonal numbers ⋮ Multiplicative functions which are additive on triangular numbers ⋮ Multiplicative functions commutable with sums of squares ⋮ ON A -ADDITIVE UNIQUENESS SET FOR MULTIPLICATIVE FUNCTIONS
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