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Digit patterns and Coleman power series

Greg W. Anderson
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Abstract

Our 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.

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Greg W. Anderson. 2005-10-17. Digit patterns and Coleman power series. https://arxiv.org/abs/math/0510355

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