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On the diophantine equation \(\tan (k\pi /m)=k\,\tan \,\pi /m\) - MaRDI portal

On the diophantine equation \(\tan (k\pi /m)=k\,\tan \,\pi /m\) (Q1078595)

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scientific article; zbMATH DE number 3961716
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English
On the diophantine equation \(\tan (k\pi /m)=k\,\tan \,\pi /m\)
scientific article; zbMATH DE number 3961716

    Statements

    On the diophantine equation \(\tan (k\pi /m)=k\,\tan \,\pi /m\) (English)
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    1986
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    It is proved that the above mentioned equation has no solution in integers \(k\geq 2\), \(m\geq 3\). Also a slightly more general equation is considered.
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    trigonometric diophantine equations
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