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arxiv: math/9606203 · v1 · submitted 1996-06-28 · 🧮 math.CV

Bohr's power series theorem in several variables

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keywords bohrlesspolydiscpowerseriestheoremclassicalgeneralizing
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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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