Bohr's power series theorem in several variables

Details Bohr's power series theorem in several variables Bohr's power series theorem in several variables

1996-06-28

arxiv.org/abs/math/9606203v1

Mathematics

Complex Variables

Scientific paper

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}).

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