A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}

Ismail Naci Cangul; Gokhan Soydan; Yilmaz Simsek

doi:10.1063/1.3241447

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arXiv · 1112.5984

A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}

Ismail Naci Cangul·Gokhan Soydan·Yilmaz Simsek

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Abstract

We find all solutions of Diophantine equation x^{2}+11^{2k} = y^{n} where x>=1, y>=1, n>=3 and k is natural number. We give p-adic interpretation of this equation.

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Ismail Naci Cangul, Gokhan Soydan, Yilmaz Simsek. 2011-12-27. A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}. https://doi.org/10.1063/1.3241447

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