On Ramanujan Cubic Polynomials
Commutative Algebra
2007-11-22 v1
Abstract
A polynomial x^3+px^2+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.
Keywords
Cite
@article{arxiv.0711.3420,
title = {On Ramanujan Cubic Polynomials},
author = {Vladimir Shevelev},
journal= {arXiv preprint arXiv:0711.3420},
year = {2007}
}
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11 pages