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arXiv · 1404.3282

Generation of ring class fields by eta-quotients

Ja Kyung Koo·Dong Hwa Shin·Dong Sung Yoon
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Abstract

We generate ring class fields of imaginary quadratic fields in terms of the special values of certain eta-quotients, which are related to the relative norms of Siegel-Ramachandra invariants. These give us minimal polynomials with relatively small coefficients from which we are able to solve certain quadratic Diophantine equations concerning non-convenient numbers.

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Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon. 2014-04-12. Generation of ring class fields by eta-quotients. https://arxiv.org/abs/1404.3282

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