On the generalized Fermat equation over totally real fields

Heline Deconinck

Acta Arithmetica, Tome 172 (2016), p. 225-237 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2016-01-01

Zbl 06602738

EUDML-ID : urn:eudml:doc:286562

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     author = {Heline Deconinck},
     title = {On the generalized Fermat equation over totally real fields},
     journal = {Acta Arithmetica},
     volume = {172},
     year = {2016},
     pages = {225-237},
     zbl = {06602738},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8171-1-2016}
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Heline Deconinck. On the generalized Fermat equation over totally real fields. Acta Arithmetica, Tome 172 (2016) pp. 225-237. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8171-1-2016/