Arithmetic properties related to the shuffle-product
Number Theory
2007-06-07 v2
Abstract
Properties of the shuffle product suggest the definition of a quadratic form with domain and values in formal power series over a field of characteristic 2. This quadratic form preserves rational (respectively algebraic) power series and its restriction to the affine subspace of series with constant term 1 is bijective. Conjecturally, this bijection restricts to a bijection of rational (respectively algebraic) formal power series.
Keywords
Cite
@article{arxiv.0705.3632,
title = {Arithmetic properties related to the shuffle-product},
author = {Roland Bacher},
journal= {arXiv preprint arXiv:0705.3632},
year = {2007}
}