Expresie in numere intregi

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Vlad Matei
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Expresie in numere intregi

Post by Vlad Matei »

Determinati toate numerele intregi pozitive \( m \) pentru care \( \displaystyle \frac{2^m \alpha^{m}-(\alpha+\beta)^{m}-(\alpha-\beta)^{m}}{3\alpha^2+\beta^2} \) este numar intreg pentru orice \( \alpha,\beta \in \mathbf{Z^*} \).

Bulgaria TST 2007
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