PreprintarXiv licencearXiv
Integer symplectic matrices in expanding boxes
Abstract
We prove an essentially optimal uniform upper bound for the number of integer symplectic matrices inside a box of expanding side length and arbitrary centre.
Related
- Low-rank perturbation of symplectic matrices
- D(N)-quadruples in upper-triangular 2×2 integer matrices
- Factorisability of Low Dimensional Non-Negative Integer Matrices
- Cardinalities of Jordan Diophantine sets of upper triangular integer matrices
- Square matrices with integer eigenvalues under entry permutations
BibTeX
@misc{wurzinger2026integer,
title = {{Integer symplectic matrices in expanding boxes}},
author = {Lena Wurzinger},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29794},
eprint = {2610.29794},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29794},
}
RIS
TY - UNPB
TI - Integer symplectic matrices in expanding boxes
AU - Lena Wurzinger
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29794
UR - https://arxiv.org/abs/2610.29794
AB - We prove an essentially optimal uniform upper bound for the number of integer symplectic matrices inside a box of expanding side length and arbitrary centre.
ER -