[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j170079

GENERATION OF RING CLASS FIELDS BY ETA-QUOTIENTS

Koo, Ja Kyung (Department of Mathematical Sciences KAIST)
Shin, Dong Hwa (Department of Mathematics Hankuk University of Foreign Studies)
Yoon, Dong Sung (Department of Mathematical Sciences KAIST)

Publication Information

Journal of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 131-146 More about this Journal

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.

Keywords

class field theory; complex multiplication; elliptic and modular units;

Citations & Related Records

Reference

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