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The generalised Fermat equation x²+y³=z¹⁵

Title data

Siksek, Samir ; Stoll, Michael:
The generalised Fermat equation x²+y³=z¹⁵.
In: Archiv der Mathematik. Vol. 102 (May 2014) Issue 5 . - pp. 411-421.
ISSN 0003-889X
DOI: https://doi.org/10.1007/s00013-014-0639-z

Abstract in another language

We determine the set of primitive integral solutions to the generalised Fermat equation x²+y³=z¹⁵. As expected, the only solutions are the trivial ones with xyz=0 and the non-trivial one (x,y,z)=(±3,−2,1)

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II > Chair Mathematics II - Univ.-Prof. Dr. Michael Stoll
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: 20 Nov 2014 10:41
Last Modified: 27 Nov 2014 09:55
URI: https://eref.uni-bayreuth.de/id/eprint/3747