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arXiv · 1407.5713

Construction of ray class fields by smaller generators and applications

Ja Kyung Koo·Dong Sung Yoon
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Abstract

We first generate ray class fields over imaginary quadratic fields in terms of Siegel-Ramachandra invariants, which would be an extension of Schertz's result. And, by making use of quotients of Siegel-Ramachandra invariants we also construct ray class invariants over imaginary quadratic fields whose minimal polynomials have relatively small coefficients, from which we are able to solve certain quadratic Diophantine equations.

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Ja Kyung Koo, Dong Sung Yoon. 2014-07-22. Construction of ray class fields by smaller generators and applications. https://arxiv.org/abs/1407.5713

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