Geodesic
Method of infinite ascent applied on $-(2^p\cdot A^6)+B^3=C^2$
Communications in Mathematics, Tome 21 (2013) no. 2, pp. 173-178 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $-(2^p\cdot A^6) + B^3 = C^2$ 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.
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.
Classification : 11D41, 11D72
Keywords: higher order Diophantine equations; method of infinite ascent; Diophantine equation $-(2^p\cdot A^6) + B^3 = C^2$ 
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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, Tome 21 (2013) no. 2, pp. 173-178. http://geodesic.mathdoc.fr/item/COMIM_2013_21_2_a5/

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