Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GENERATION OF RING CLASS FIELDS BY ETA-QUOTIENTS

  • Received : 2017.01.25
  • Accepted : 2017.05.04
  • Published : 2018.01.01
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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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References

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