The Generalized Fermat Equation

Michael Bennett (), Preda Mihăilescu () and Samir Siksek ()
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Michael Bennett: University of British Columbia, Department of Mathematics
Preda Mihăilescu: Mathematisches Institut der Universität Göttingen
Samir Siksek: University of Warwick, Mathematics Institute

A chapter in Open Problems in Mathematics, 2016, pp 173-205 from Springer

Abstract: Abstract We survey approaches to solving the generalized Fermat equation $$\displaystyle{x^{p} + y^{q} = z^{r}}$$ in relatively prime integers x, y and z, and integers p, q and r ≥ 2.

Keywords: Modular Form; Elliptic Curve; Elliptic Curf; Abelian Variety; Number Field (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-32162-2_3

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DOI: 10.1007/978-3-319-32162-2_3

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