Ramanujan Invariants for discriminants congruent to $\mathbf{5\;mod \;24
Number Theory
2011-07-05 v1
Abstract
In this paper we compute the minimal polynomials of Ramanujan values 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.
Keywords
Cite
@article{arxiv.1107.0413,
title = {Ramanujan Invariants for discriminants congruent to $\mathbf{5\;mod \;24},
author = {Elisavet Konstantinou and Aristides Kontogeorgis},
journal= {arXiv preprint arXiv:1107.0413},
year = {2011}
}
Comments
22 pages, To appear in International Journal of Number Theory