Geometric bounds on norms of signed indecomposable integers

Siu Hang Man; Zdeněk Pezlar; Pavlo Yatsyna

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arXiv · 2610.18737

Geometric bounds on norms of signed indecomposable integers

Siu Hang Man·Zdeněk Pezlar·Pavlo Yatsyna

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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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Siu Hang Man, Zdeněk Pezlar, Pavlo Yatsyna. 2026-10-13. Geometric bounds on norms of signed indecomposable integers. https://arxiv.org/abs/2610.18737

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