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29 March 2024
 
  » arxiv » math.NT/0510355

 Article overview


Digit patterns and Coleman power series
Greg W. Anderson ;
Date 17 Oct 2005
AbstractOur main result is elementary and concerns the relationship between the multiplicative groups of the coordinate and endomorphism rings of the formal additive group over a field of characteristic $p>0$. The proof involves the combinatorics of base $p$ representations of positive integers in a striking way. We apply the main result to construct a canonical quotient of the module of Coleman power series over the Iwasawa algebra when the base local field is of characteristic $p$. This gives information in a situation which apparently has never previously been investigated.
Source arXiv, math.NT/0510355
Other source [GID 252574] math/0510355
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