Arithmetic of function field units

2015/06/20 by Bruno Anglès, Anglès, Bruno, Floric Tavares Ribeiro +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #math.NT

paper · pdf · doi:10.48550/arxiv.1506.06286

This is a development and generalization of a part of the (now obsolete) preprint arXiv:1502.00949

arxiv created 2015/06/20 · arxiv updated 2015/06/23

Abstract

We prove a "discrete analogue" for Taelman's class modules of certain Conjectures formulated by R. Greenberg for cyclotomic fields.

Citations

• A Spiegelungssatz for function field L-series

Related

• Arithmetic of Units in F_q[T]
• On units generated by Euler systems
• Representation of units in cyclotomic function fields
• An analogue of Kummer's relation between the ideal class number and the unit index of cyclotomic fields
• On the Applications of Cyclotomic Fields in Introductory Number Theory