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The generalised Fermat equation x 2 + y 3 = z 15
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Siksek, Samir and Stoll, Michael (2014) The generalised Fermat equation x 2 + y 3 = z 15. Archiv der Mathematik, Volume 102 (Number 5). pp. 411-421. doi:10.1007/s00013-014-0639-z ISSN 0003-889X.
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Official URL: http://dx.doi.org/10.1007/s00013-014-0639-z
Abstract
We determine the set of primitive integral solutions to the generalised Fermat equation x 2 + y 3 = z 15. As expected, the only solutions are the trivial ones with xyz = 0 and the non-trivial one (x, y, z) = (± 3, −2, 1).
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Archiv der Mathematik | ||||||
Publisher: | Springer Basel | ||||||
ISSN: | 0003-889X | ||||||
Official Date: | May 2014 | ||||||
Dates: |
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Volume: | Volume 102 | ||||||
Number: | Number 5 | ||||||
Page Range: | pp. 411-421 | ||||||
DOI: | 10.1007/s00013-014-0639-z | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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