| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601700 | Linear Algebra and its Applications | 2010 | 6 Pages |
Abstract
We obtain upper bounds for the number of arbitrary and symmetric matrices with integer entries in a given box (in an arbitrary location) and a given determinant. We then apply these bounds to estimate the number of matrices in such boxes which have an integer eigenvalues. Finally, we outline some open questions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
