Primitive Integral Solutions to x^2 + y^3 = z^{10}

David Brown

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arXiv · 0911.2932

Primitive Integral Solutions to x^2 + y^3 = z^{10}

David Brown

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Abstract

We classify primitive integer solutions to x^2 + y^3 = z^10. The technique is to combine modular methods at the prime 5, number field enumeration techniques in place of modular methods at the prime 2, Chabauty techniques for elliptic curves over number fields, and local methods.

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David Brown. 2009-11-16. Primitive Integral Solutions to x^2 + y^3 = z^{10}. https://arxiv.org/abs/0911.2932

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