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dc.contributor.author
Halbeisen, Lorenz J.
dc.contributor.author
Hungerbühler, Norbert
dc.date.accessioned
2021-02-25T16:23:58Z
dc.date.available
2019-01-10T07:58:07Z
dc.date.available
2019-01-10T08:10:29Z
dc.date.available
2021-02-25T16:23:58Z
dc.date.issued
2019
dc.identifier.other
10.12732/iejpam.v13i1.1
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/314721
dc.identifier.doi
10.3929/ethz-b-000314721
dc.description.abstract
We investigate the geometry of Hessian curves H_c : x^3 + y^3 + z^3 + cxyz = 0. In particular, we present an elementary characterisation of Hessian curves with torsion group Z/6Z. As an application we show, for example, that a result of Mordell’s implies that the equation 7m^4 −26m^2e^2 − 49e^4 − n^2 = 0 does not have a solution in positive integers.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Academic Publications
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-nc/3.0/
dc.subject
Hessian curves
en_US
dc.subject
diophantine equations
en_US
dc.subject
elliptic curves
en_US
dc.title
An Elementary Approach to Hessian Curves with Torsion Group Z/6Z
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial 3.0 Unported
ethz.journal.title
International Electronic Journal of Pure and Applied Mathematics
ethz.journal.volume
13
en_US
ethz.journal.issue
1
en_US
ethz.pages.start
30
en_US
ethz.size
30 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.publication.place
Sofia
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
en_US
ethz.date.deposited
2019-01-10T07:58:28Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-01-10T08:10:57Z
ethz.rosetta.lastUpdated
2022-03-29T05:28:23Z
ethz.rosetta.versionExported
true
ethz.COinS
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