Name
Abstract | ||
|---|---|---|
In this paper, we prove an extension of Mahler's theorem on interpolation series, a celebrated result of p-adic analysis. Mahler's original result states that a function from N to Z is uniformly continuous for the p-adic metric d"p if and only if it can be uniformly approximated by polynomial functions. We prove the same result for functions from a free monoid A^* to Z, where d"p is replaced by the pro-p metric, the profinite metric on A^* defined by p-groups. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.ejc.2013.09.009 | Eur. J. Comb. |
Keywords | Field | DocType |
interpolation series,free monoid,polynomial function,noncommutative extension,original result state,celebrated result,p-adic analysis | Discrete mathematics,Noncommutative geometry,Combinatorics,Polynomial,Interpolation,Uniform continuity,Binomial coefficient,Free monoid,Mahler's theorem,Mathematics | Journal |
Volume | ISSN | Citations |
36, | 0195-6698 | 5 |
PageRank | References | Authors |
0.78 | 10 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jean-íric Pin | 1 | 5 | 0.78 |
| Pedro V. Silva | 2 | 141 | 29.42 |