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The generalised Fermat equation x 2 + y 3 = z 15
- Source :
- Archiv der Mathematik. 102:411-421
- Publication Year :
- 2014
- Publisher :
- Springer Science and Business Media LLC, 2014.
-
Abstract
- We determine the set of primitive integral solutions to the generalised Fermat equation x^2 + y^3 = z^15. As expected, the only solutions are the trivial ones with xyz = 0 and the non-trivial pair (x,y,z) = (+-3, -2, 1).<br />The paper is slightly shorter. Specifically, in the notation of the paper, we are now able to carry out Chabauty on the curve C_{3,0}. This allows us to eliminate a lengthy elliptic curve Chabauty computation
Details
- ISSN :
- 14208938 and 0003889X
- Volume :
- 102
- Database :
- OpenAIRE
- Journal :
- Archiv der Mathematik
- Accession number :
- edsair.doi.dedup.....f760883626ae6f25070f9df1e08e0938