The Diophantine Equation X³ = u+v over Real Quadratic Fields
Takaaki Kagawa
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011), p. 1-9 / Harvested from The Polish Digital Mathematics Library
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Let k be a real quadratic field and let k and k× be the ring of integers and the group of units, respectively. A method of solving the Diophantine equation X³ = u+v (X∈k, u,v∈k×) is developed.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281205 
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     author = {Takaaki Kagawa},
     title = {The Diophantine Equation X$^3$ = u+v over Real Quadratic Fields},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {59},
     year = {2011},
     pages = {1-9},
     zbl = {1228.11039},
     language = {en},
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Takaaki Kagawa. The Diophantine Equation X³ = u+v over Real Quadratic Fields. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-1-1/