On Ramanujan Cubic Polynomials
Abstract
A polynomial x3+px2+qx+r with the condition pr(1/3)+ 3r(2/3)+q=0 we call a Ramanujan cubic polynomial (RCP). We study different interest properties of RCP, in particular, an important role of a parameter pq/r. We prove some new beautiful identities containing sums of 6 cubic radicals of values of trigonometrical functions as well.
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