| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415751 | Journal of Number Theory | 2010 | 18 Pages |
Abstract
We study a special case of the Gross-Stark conjecture (Gross, 1981 [Gr]), namely over genus fields. Based on the same idea we provide evidence of the rationality conjecture of the elliptic units for real quadratic fields over genus fields, which is a refinement of the Gross-Stark conjecture given by Darmon and Dasgupta (2006) [DD]. Then a relationship between these units and the Fourier coefficients of p-adic Eisenstein series of half-integral weight is explained.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jeehoon Park,