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

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

2011-12-27

arxiv.org/abs/1112.5984v1

Numerical Analysis And Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics, 2009 Vol.1

Mathematics

Number Theory

4 pages

Scientific paper

10.1063/1.3241447

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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