Class numbers of quadratic fields ${\mathbb Q}(\sqrt {D})$ and ${\mathbb Q}(\sqrt {tD})$
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- by Dongho Byeon PDF
- Proc. Amer. Math. Soc. 132 (2004), 3137-3140 Request permission
Abstract:
Let $t$ be a square free integer. We shall show that there exist infinitely many positive fundamental discriminants $D>0$ with a positive density such that the class numbers of quadratic fields ${\mathbb Q}(\sqrt {D})$ and ${\mathbb Q}(\sqrt {tD})$ are both not divisible by 3.References
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Additional Information
- Dongho Byeon
- Affiliation: School of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea
- Email: dhbyeonmath.snu.ac.kr
- Received by editor(s): December 23, 2002
- Published electronically: June 21, 2004
- Additional Notes: This work was supported by grant No. R08-2003-000-10243-0 from the Basic Research Program of the Korea Science $\&$ Engineering Foundation
- Communicated by: David E. Rohrlich
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3137-3140
- MSC (2000): Primary 11R11, 11R29
- DOI: https://doi.org/10.1090/S0002-9939-04-07536-7
- MathSciNet review: 2073286