| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593549 | Journal of Number Theory | 2016 | 14 Pages |
Abstract
We show that with “obvious” exceptions the product of two singular moduli cannot be a non-zero rational number. This gives a totally explicit version of André's 1998 theorem on special points for the hyperbolas x1x2=Ax1x2=A, where A∈QA∈Q.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yuri Bilu, Florian Luca, Amalia Pizarro-Madariaga,