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- W2963169748 abstract "In this paper we highlight the connection between Ramanujan cubic polynomials (RCPs) and a class of polynomials, the Shanks cubic polynomials (SCPs), which generate cyclic cubic fields. In this way we provide a new characterization for RCPs and we express the zeros of any RCP in explicit form, using trigonometric functions. Moreover, we observe that a cyclic transform of period three permutes these zeros. As a consequence of these results we provide many new and beautiful identities. Finally we" @default.
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- W2963169748 date "2013-01-01" @default.
- W2963169748 modified "2023-09-23" @default.
- W2963169748 title "Identities Involving Zeros of Ramanujan and Shanks Cubic Polynomials" @default.
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