A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}
Number Theory
2011-12-30 v1
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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Cite
@article{arxiv.1112.5984,
title = {A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}},
author = {Ismail Naci Cangul and Gokhan Soydan and Yilmaz Simsek},
journal= {arXiv preprint arXiv:1112.5984},
year = {2011}
}
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4 pages