Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³
Bulletin of the Polish Academy of Sciences. Mathematics (2014)
- Volume: 62, Issue: 3, page 211-214
- ISSN: 0239-7269
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topSusil Kumar Jena. "Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³." Bulletin of the Polish Academy of Sciences. Mathematics 62.3 (2014): 211-214. <http://eudml.org/doc/281149>.
@article{SusilKumarJena2014,
abstract = {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.},
author = {Susil Kumar Jena},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {parametric solution; quartic Diophantine equation},
language = {eng},
number = {3},
pages = {211-214},
title = {Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³},
url = {http://eudml.org/doc/281149},
volume = {62},
year = {2014},
}
TY - JOUR
AU - Susil Kumar Jena
TI - Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 3
SP - 211
EP - 214
AB - 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.
LA - eng
KW - parametric solution; quartic Diophantine equation
UR - http://eudml.org/doc/281149
ER -
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