Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³
Susil Kumar Jena
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014), p. 211-214 / Harvested from The Polish Digital Mathematics Library
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The Diophantine equation A² + nB⁴ = C³ has infinitely many integral solutions A, B, C for any fixed integer n. The case n = 0 is trivial. By using a new polynomial identity we generate these solutions, and then give conditions when the solutions are pairwise co-prime.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:281149 
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     author = {Susil Kumar Jena},
     title = {Parametric Solutions of the Diophantine Equation A2 + nB4 = C3},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {62},
     year = {2014},
     pages = {211-214},
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     language = {en},
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Susil Kumar Jena. Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) pp. 211-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-3-2/