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arXiv · 1107.0413

Ramanujan Invariants for discriminants congruent to $\mathbf{5\;mod \;24

Elisavet Konstantinou·Aristides Kontogeorgis
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Abstract

In this paper we compute the minimal polynomials of Ramanujan values $27t_n^{-12}$ for discriminants D\equiv5mod24. Our method is based on Shimura Reciprocity Law as which was made computationally explicit by A.Gee and P. Stevenhagen. However, since these Ramanujan values are not class invariants, we present a modification of the above method which can be applied on modular functions that do not necessarily yield class invariants.

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Elisavet Konstantinou, Aristides Kontogeorgis. 2011-07-02. Ramanujan Invariants for discriminants congruent to $\mathbf{5\;mod \;24. https://arxiv.org/abs/1107.0413

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