Work

Geometric bounds on norms of signed indecomposable integers

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.18737

Authors: Man, Siu Hang, Pezlar, Zdeněk, Yatsyna, Pavlo

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Univerzita Karlova v Praze, Grantová Agentura České Republiky

Awards: G1687976269, G284571301, G4241652709

OpenAlex ID: W7221754467

Cites: 3

Cited by:

Related to: 10