Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594565 | Journal of Number Theory | 2011 | 8 Pages |
Abstract
For an abelian number field k, let CS(k) be the group of circular units of k defined by Sinnott, and CW(k) be that suggested by Washington. In this paper, we construct an element in CW(k) for a real subfield k of conductor . We will see that the order of in the factor group CW(k)/CS(k) can be very large. As an application, we derive some information about the class number of k for special cases.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory