Arithmetic of Units in F_q[T]
Bruno Angles, Mohamed Ould Douh
TL;DR
This paper explores the properties and structure of Taelman's unit module over the polynomial ring F_q[T], providing insights into its arithmetic behavior.
Contribution
It offers new analysis of the arithmetic of Taelman's unit module specifically for the ring F_q[T], expanding understanding in this area.
Findings
Characterization of the unit module structure
Results on the arithmetic properties of units
Connections to function field arithmetic
Abstract
We study in this note the arithmetic of Taelman's unit module for the ring F_q[T]
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · semigroups and automata theory