| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594101 | Journal of Number Theory | 2013 | 14 Pages |
Abstract
TextFor any integer k⩾1k⩾1, we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order 2k2k. The proof combines the circle method with an algebraic criterion for a complex quadratic ideal class to be a square.VideoFor a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=H49W8Wyl47o.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Carlos Dominguez, Steven J. Miller, Siman Wong,