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donjar

Fungsi agak multiplikatif

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Misalkan $S = \{ 2, 3, 4, \dotsc \}$ menyatakan himpunan bilangan-bilangan bulat yang lebih besar atau sama dengan 2. Apakah terdapat $f: S \to S$ sehingga $$f(a)f(b)=f(a^2b^2)$$ untuk setiap $a, b \in S$ dengan $a \neq b$?


 


APMO 2015 no. 2 oleh Angelo Di Pasquale, Australia


Edited by donjar

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