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Geometric bounds on norms of signed indecomposable integers
Abstract
We establish bounds on the norm of signed indecomposable integers in totally real number fields, via a geometric argument. We also improve the bound on the norm of totally positive indecomposable integers in real quadratic fields by Tinková and Voutier.
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BibTeX
@misc{man2026geometric,
title = {{Geometric bounds on norms of signed indecomposable integers}},
author = {Siu Hang Man and Zdeněk Pezlar and Pavlo Yatsyna},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18737},
eprint = {2610.18737},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18737},
}
RIS
TY - UNPB
TI - Geometric bounds on norms of signed indecomposable integers
AU - Siu Hang Man
AU - Zdeněk Pezlar
AU - Pavlo Yatsyna
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18737
UR - https://arxiv.org/abs/2610.18737
AB - We establish bounds on the norm of signed indecomposable integers in totally real number fields, via a geometric argument. We also improve the bound on the norm of totally positive indecomposable integers in real quadratic fields by Tinková and Voutier.
ER -