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A p-adic Look at the Diophantine equation x2 + 112k = yn

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Cangül, İsmail Naci

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Şimşek, Yılmaz
Soydan, Gökhan
Simos, T. E.
Psihoyios, G.
Tsitouras, C.

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Amer Inst Physics

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Abstract

We find all solutions of Diophantine equation x(2) + 11(2k) = y(n), x >= 1, y >= 1, k is an element of N, n >= 3. We give p-adic interpretation of this equation.

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Bu çalışma, 18-22 Eylül 2009 tarihleri arasında Rethymnon[Yunanistan]’da düzenlenen Exponential diophantine equationsprimitive divisors’da bildiri olarak sunulmuştur.

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Exponential diophantine equations, Primitive divisors, Mathematics, Physics

Citation

Cangül, İ. N. vd. (2009). "A p-adic Look at the Diophantine equation x2 + 112k = yn". ed. T. E. Simos vd. Numerical Analysis and Applied Mathematics, vols 1 and 2, AIP Conference Proceedings, 1168, 275 - 277.

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