On A² ± nB⁴ + C⁴ = D⁸

Susil Kumar Jena

Colloquium Mathematicae (2014)

  • Volume: 136, Issue: 2, page 255-257
  • ISSN: 0010-1354

Abstract

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We prove that for each n ∈ ℕ₊ the Diophantine equation A² ± nB⁴ + C⁴ = D⁸ has infinitely many primitive integer solutions, i.e. solutions satisfying gcd(A,B,C,D) = 1.

How to cite

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Susil Kumar Jena. "On A² ± nB⁴ + C⁴ = D⁸." Colloquium Mathematicae 136.2 (2014): 255-257. <http://eudml.org/doc/283527>.

@article{SusilKumarJena2014,
abstract = {We prove that for each n ∈ ℕ₊ the Diophantine equation A² ± nB⁴ + C⁴ = D⁸ has infinitely many primitive integer solutions, i.e. solutions satisfying gcd(A,B,C,D) = 1.},
author = {Susil Kumar Jena},
journal = {Colloquium Mathematicae},
language = {eng},
number = {2},
pages = {255-257},
title = {On A² ± nB⁴ + C⁴ = D⁸},
url = {http://eudml.org/doc/283527},
volume = {136},
year = {2014},
}

TY - JOUR
AU - Susil Kumar Jena
TI - On A² ± nB⁴ + C⁴ = D⁸
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 2
SP - 255
EP - 257
AB - We prove that for each n ∈ ℕ₊ the Diophantine equation A² ± nB⁴ + C⁴ = D⁸ has infinitely many primitive integer solutions, i.e. solutions satisfying gcd(A,B,C,D) = 1.
LA - eng
UR - http://eudml.org/doc/283527
ER -

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