Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Digit patterns and Coleman power series   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.

19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg