On Ramanujan Cubic Polynomials

Details On Ramanujan Cubic Polynomials On Ramanujan Cubic Polynomials

2007-11-21

arxiv.org/abs/0711.3420v1

Mathematics

Commutative Algebra

11 pages

Scientific paper

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.

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