Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon
Published 2014-04-12, updated 2016-05-30Version 3
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.
Construction of ray class fields by smaller generators and applications
Ring class invariants over imaginary quadratic fields
On the $μ$-invariant of Katz $p$-adic $L$ functions attached to imaginary quadratic fields and applications
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