On Fermat’s equation over some quadratic imaginary number fields

Assuming a deep but standard conjecture in the Langlands programme, we prove Fermat’s Last Theorem over [Formula: see text] Under the same assumption, we also prove that, for all prime exponents [Formula: see text] Fermat’s equation [Formula: see text] does not have non-trivial solutions over [Formu...

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Detalles Bibliográficos
Autor principal: Ţurcaş, George C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6428335/
https://www.ncbi.nlm.nih.gov/pubmed/30957002
http://dx.doi.org/10.1007/s40993-018-0117-y
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author Ţurcaş, George C.
author_facet Ţurcaş, George C.
author_sort Ţurcaş, George C.
collection PubMed
description Assuming a deep but standard conjecture in the Langlands programme, we prove Fermat’s Last Theorem over [Formula: see text] Under the same assumption, we also prove that, for all prime exponents [Formula: see text] Fermat’s equation [Formula: see text] does not have non-trivial solutions over [Formula: see text] and [Formula: see text]
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spelling pubmed-64283352019-04-05 On Fermat’s equation over some quadratic imaginary number fields Ţurcaş, George C. Res Number Theory Research Assuming a deep but standard conjecture in the Langlands programme, we prove Fermat’s Last Theorem over [Formula: see text] Under the same assumption, we also prove that, for all prime exponents [Formula: see text] Fermat’s equation [Formula: see text] does not have non-trivial solutions over [Formula: see text] and [Formula: see text] Springer International Publishing 2018-05-04 2018 /pmc/articles/PMC6428335/ /pubmed/30957002 http://dx.doi.org/10.1007/s40993-018-0117-y Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Ţurcaş, George C.
On Fermat’s equation over some quadratic imaginary number fields
title On Fermat’s equation over some quadratic imaginary number fields
title_full On Fermat’s equation over some quadratic imaginary number fields
title_fullStr On Fermat’s equation over some quadratic imaginary number fields
title_full_unstemmed On Fermat’s equation over some quadratic imaginary number fields
title_short On Fermat’s equation over some quadratic imaginary number fields
title_sort on fermat’s equation over some quadratic imaginary number fields
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6428335/
https://www.ncbi.nlm.nih.gov/pubmed/30957002
http://dx.doi.org/10.1007/s40993-018-0117-y
work_keys_str_mv AT turcasgeorgec onfermatsequationoversomequadraticimaginarynumberfields

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