Work

Number Theory in OSCAR

Year: 2024

Type: preprint

Abstract: We give a brief introduction to computational algebraic number theory in OSCAR. Our main focus is on number fields, rings of integers and their invariants. After recalling some classical results and their constructive counterparts, we showcase the functionality in two examples related to the investigation of the Cohen-Lenstra heuristic for quadratic fields and the Galois module structure of rings of integers.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2404.06858

Authors: Fieker, Claus, Hofmann, Tommy

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Awards: G251152387, TRR 195: Symbolische Werkzeuge in der Mathematik und ihre Anwendung, MaRDI Mathematische Forschungsdateninitiative

OpenAlex ID: W4394736817

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