A comparison of the Carlitz and digit derivatives bases in function field arithmetic
Number Theory
2007-05-23 v1
Abstract
In this paper we compare several properties and constructions of the Carlitz polynomials and digit derivatives for continuous functions on In particular, we show a close relation between them as orthonormal bases. Moreover, parallel to Carlitz's coefficient formula, we give the closed formula for the expansion coefficients in terms of the digit derivatives.
Cite
@article{arxiv.math/0003243,
title = {A comparison of the Carlitz and digit derivatives bases in function field arithmetic},
author = {Sangtae Jeong},
journal= {arXiv preprint arXiv:math/0003243},
year = {2007}
}