Counting $2\times2$ integer matrices with fixed trace and determinant
Number Theory
2024-10-08 v1
Abstract
We count with a smooth weight the number of integer matrices with a fixed characteristic polynomial with a main term and an error term using bounds for sums of Weyl sums for quadratic roots.
Cite
@article{arxiv.2410.04632,
title = {Counting $2\times2$ integer matrices with fixed trace and determinant},
author = {Rachita Guria},
journal= {arXiv preprint arXiv:2410.04632},
year = {2024}
}
Comments
6 pages