Generation of ring class fields by eta-quotients

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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.
Publisher
KOREAN MATHEMATICAL SOC
Issue Date
2018-01
Language
English
Article Type
Article
Citation

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.55, no.1, pp.131 - 146

ISSN
0304-9914
DOI
10.4134/JKMS.j170079
URI
http://hdl.handle.net/10203/239461
Appears in Collection
MA-Journal Papers(저널논문)
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