Method of infinite ascent applied on - ( 2 p · A 6 ) + B 3 = C 2

Susil Kumar Jena

Communications in Mathematics (2013)

  • Volume: 21, Issue: 2, page 173-178
  • ISSN: 1804-1388

Abstract

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In this paper, the author shows a technique of generating an infinite number of coprime integral solutions for ( A , B , C ) of the Diophantine equation - ( 2 p · A 6 ) + B 3 = C 2 for any positive integral values of p when p ≡ 1 (mod 6) or p ≡ 2 (mod 6). For doing this, we will be using a published result of this author in The Mathematics Student, a periodical of the Indian Mathematical Society.

How to cite

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Jena, Susil Kumar. "Method of infinite ascent applied on $-(2^p\cdot A^6)+B^3=C^2$." Communications in Mathematics 21.2 (2013): 173-178. <http://eudml.org/doc/260799>.

@article{Jena2013,
abstract = {In this paper, the author shows a technique of generating an infinite number of coprime integral solutions for $(A,B,C)$ of the Diophantine equation $-(2^p\cdot A^6) + B^3 = C^2$ for any positive integral values of $p$ when $p \equiv 1$ (mod 6) or $p \equiv 2$ (mod 6). For doing this, we will be using a published result of this author in The Mathematics Student, a periodical of the Indian Mathematical Society.},
author = {Jena, Susil Kumar},
journal = {Communications in Mathematics},
keywords = {higher order Diophantine equations; method of infinite ascent; Diophantine equation $-(2^p\cdot A^6) + B^3 = C^2$; higher degree Diophantine equations; method of infinite ascent},
language = {eng},
number = {2},
pages = {173-178},
publisher = {University of Ostrava},
title = {Method of infinite ascent applied on $-(2^p\cdot A^6)+B^3=C^2$},
url = {http://eudml.org/doc/260799},
volume = {21},
year = {2013},
}

TY - JOUR
AU - Jena, Susil Kumar
TI - Method of infinite ascent applied on $-(2^p\cdot A^6)+B^3=C^2$
JO - Communications in Mathematics
PY - 2013
PB - University of Ostrava
VL - 21
IS - 2
SP - 173
EP - 178
AB - In this paper, the author shows a technique of generating an infinite number of coprime integral solutions for $(A,B,C)$ of the Diophantine equation $-(2^p\cdot A^6) + B^3 = C^2$ for any positive integral values of $p$ when $p \equiv 1$ (mod 6) or $p \equiv 2$ (mod 6). For doing this, we will be using a published result of this author in The Mathematics Student, a periodical of the Indian Mathematical Society.
LA - eng
KW - higher order Diophantine equations; method of infinite ascent; Diophantine equation $-(2^p\cdot A^6) + B^3 = C^2$; higher degree Diophantine equations; method of infinite ascent
UR - http://eudml.org/doc/260799
ER -

References

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