Bohr's power series theorem in several variables
Complex Variables
2008-02-03 v1
Abstract
Generalizing a classical one-variable theorem of Harald Bohr, we show that if an n-variable power series has modulus less than 1 in the unit polydisc, then the sum of the moduli of the terms is less than 1 in the polydisc of radius 1/(3*n^{1/2}).
Keywords
Cite
@article{arxiv.math/9606203,
title = {Bohr's power series theorem in several variables},
author = {Harold P. Boas and Dmitry Khavinson},
journal= {arXiv preprint arXiv:math/9606203},
year = {2008}
}