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Geometric bounds on norms of signed indecomposable integers

Siu Hang Man, Zdeněk Pezlar, Pavlo Yatsyna

math.NTarXiv:2610.18737

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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