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

Gokhan Soydan; Ismail Naci Cangul; Yilmaz Simsek

arxiv: 1112.5984 · v1 · pith:AJFIXIIDnew · submitted 2011-12-27 · 🧮 math.NT

A p-adic look at the Diophantine equation x²+11^(2k)=y^(n)

Ismail Naci Cangul , Gokhan Soydan , Yilmaz Simsek This is my paper

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keywords equationdiophantinep-adicfindgiveinterpretationlooknatural

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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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A p-adic look at the Diophantine equation x²+11^(2k)=y^(n)

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