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

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Date

2009

Journal Title

Journal ISSN

Volume Title

Publisher

Amer Inst Physics

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.

Description

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

Keywords

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.