Geodesic
On the generalized Fermat equation over totally real fields
Heline Deconinck1
1 Mathematics Institute University of Warwick Coventry, CV4 7AL, United Kingdom
Acta Arithmetica, Tome 173 (2016) no. 3, pp. 225-237 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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In a recent paper, Freitas and Siksek proved an asymptotic version of Fermat’s Last Theorem for many totally real fields. We prove an extension of their result to generalized Fermat equations of the form $A x^p+B y^p+ C z^p=0$, where $A$, $B$, $C$ are odd integers belonging to a totally real field.
DOI : 10.4064/aa8171-1-2016
Keywords: recent paper freitas siksek proved asymptotic version fermat theorem many totally real fields prove extension their result generalized fermat equations form b where odd integers belonging totally real field

Heline Deconinck 1

1 Mathematics Institute University of Warwick Coventry, CV4 7AL, United Kingdom 
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Heline Deconinck. On the generalized Fermat equation over totally real fields. Acta Arithmetica, Tome 173 (2016) no. 3, pp. 225-237. doi: 10.4064/aa8171-1-2016

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