Hadamard grade of power series
Number Theory
2011-12-14 v2
Abstract
The Hadamard product of two power series and is the power series . We define the (Hadamard) grade of a power series to be the least number (finite or infinite) of algebraic power series, the Hadamard product of which equals . We study and discuss this notion.
Cite
@article{arxiv.1101.0526,
title = {Hadamard grade of power series},
author = {J. -P. Allouche and M. Mendès France},
journal= {arXiv preprint arXiv:1101.0526},
year = {2011}
}