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

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

2009-11-16

arxiv.org/abs/0911.2932v3

Mathematics

Number Theory

11 pages; fixed typos, updated references

Scientific paper

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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