On a class of generalized Fermat equations of signature (2,2n,3)
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DOI: 10.1016/j.jnt.2021.06.019
Abstract: Abstract We consider the Diophantine equation 7 x 2 + y 2 n = 4 z 3 . We determine all solutions to this equation for n = 2 , 3 , 4 and 5.… read more here.
Keywords: fermat equations; diophantine equation; equations signature; class generalized ... See more keywords
On some generalized Fermat equations of the form x2+y2n=zp$x^2+y^{2n} = z^p$
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DOI: 10.1112/mtk.12127
Abstract: The primary aim of this paper is to study the generalized Fermat equation x2+y2n=z3p\begin{equation*} x^2+y^{2n} = z^{3p} \end{equation*}in coprime integers x, y, and z, where n⩾2$n \geqslant 2$ and p is a fixed prime. Using… read more here.
Keywords: equations form; fermat equations; equation; generalized fermat ... See more keywords