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ON THE PARITY OF IDEAL CLASSES OVER A FIXED PRIME
- Author(s)
- Park, Jeongho
- Issued Date
- 2020-02
- Citation
- AMERICAN JOURNAL OF MATHEMATICS, v.142, no.1, pp.139 - 176
- Abstract
- For real quadratic number fields, we consider the order of ideal classes of split prime ideals, P. whose norm is a fixed rational prime. We collect fundamental discriminants satisfying a trivial condition for P to be principal, and show that for a positive density of such discriminants. the cyclic subgroup of the ideal class group generated by P does not have a 2-part.
- Publisher
- JOHNS HOPKINS UNIV PRESS
- ISSN
- 0002-9327
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