Title data
Freitas, Nuno ; Siksek, Samir:
Fermat’s last theorem over some small real quadratic fields.
In: Algebra & Number Theory.
Vol. 9
(2015)
Issue 4
.
 pp. 875895.
ISSN 19370652
DOI: https://doi.org/10.2140/ant.2015.9.875
Project information
Project title: 



Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
Using modularity, level lowering, and explicit computations with Hilbert modular forms, Galois representations, and ray class groups, we show that for 3 ≤ d ≤ 23, where d ≠ 5, 17 and is squarefree, the Fermat equation x^n + y^n = z^n has no nontrivial solutions over the quadratic field ℚ(d) for n ≥ 4. Furthermore, we show that for d = 17, the same holds for prime exponents n ≡ 3,5 (mod 8).
Further data
Item Type:  Article in a journal 

Refereed:  Yes 
Keywords:  Fermat; modularity; Galois representation; level lowering 
Subject classification:  Mathematical Subject Classification 2010: 11D41 (11F80, 11F03) 
Institutions of the University:  Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics 
Result of work at the UBT:  Yes 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  12 Apr 2016 07:37 
Last Modified:  12 Apr 2016 07:37 
URI:  https://eref.unibayreuth.de/id/eprint/32159 