Abstract
A brief review of the polylogarithmic ladder and its cyclotomic equation is followed by an application to the roots of two irreducible quintic equations. The first is unique in its class and possesses four accessible and two inaccessible valid ladders. The other equation gives rise to a single ladder determinable, at the present time, only by numerical computation, and is a member of a completely new category.
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Abouzahra, M., Lewin, L. The polylogarithm in the field of two irreducible quintics. Aeq. Math. 31, 315–321 (1986). https://doi.org/10.1007/BF02188198
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DOI: https://doi.org/10.1007/BF02188198