Characterization of arithmetic functions that preserve the sum-of-squares operation
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Publication:2452416
DOI10.1007/S10114-014-3112-9zbMath1314.11004OpenAlexW2105616160MaRDI QIDQ2452416
Publication date: 3 June 2014
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-014-3112-9
Related Items (5)
On \(k\)-additive uniqueness of the set of squares for multiplicative functions ⋮ Multiplicative functions additive on generalized pentagonal numbers ⋮ Unnamed Item ⋮ Multiplicative functions additive on polygonal numbers ⋮ Multiplicative functions commutable with sums of squares
Cites Work
- 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 \(f(p+q+r)=f(p)+f(q)+f(r)\)
- The Representation of Integers by Three Positive Squares
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