A Dirichlet unit theorem for Drinfeld modules

Details A Dirichlet unit theorem for Drinfeld modules A Dirichlet unit theorem for Drinfeld modules

2009-10-16

arxiv.org/abs/0910.3142v4

Mathematics

Number Theory

8 pages. (v4: added Thm 2; v3: added conjectural class number formula; v2: minor corrections)

Scientific paper

10.1007/s00208-010-0506-6

We show that the module of integral points on a Drinfeld module satisfies a an analogue of Dirichlet's unit theorem, despite its failure to be finitely generated. As a consequence, we obtain a construction of a canonical finitely generated sub-module of the module of integral points. We use the results to give a precise formulation of a conjectural analogue of the class number formula.

Affiliated with

Also associated with

No associations

Rating

A Dirichlet unit theorem for Drinfeld modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Dirichlet unit theorem for Drinfeld modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Dirichlet unit theorem for Drinfeld modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-124156