Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224077 | Journal of Number Theory | 2018 | 10 Pages |
Abstract
We show that the field Q(x,y), generated by two singular moduli x and y, is generated by their sum x+y, unless x and y are conjugate over Q, in which case x+y generates a subfield of degree at most 2. We obtain a similar result for the product of two singular moduli.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bernadette Faye, Antonin Riffaut,