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arXiv · 1111.6023

On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction

Nikos Bagis
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Abstract

In this article we solve a general class of sextic equations. The solution follows if we consider the $j$-invariant and relate it with the polynomial equation's coefficients. The form of the solution is a relation of Rogers-Ramanujan continued fraction. The inverse technique can also be used for the evaluation of the Rogers-Ramanujan continued fraction, in which the equation is not now the depressed equation but another quite more simplified equation.

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Nikos Bagis. 2011-11-22. On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction. https://arxiv.org/abs/1111.6023

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