%0 Journal Article
%A Bayart, F.
%A Pellegrino, D.
%A Seoane-Sepúlveda, Juan B.
%T The Bohr radius of the $ n $-dimensional polydisk is equivalent to $\ sqrt {\ frac {\ log n}{n}} $
%D 2014
%@ 0001-8708
%U https://hdl.handle.net/20.500.14352/33847
%X We show that the Bohr radius of the polydisk $\mathbb D^n$ behaves asymptotically as $\sqrt{(\log n)/n}$. Our argument is based on a new interpolative approach to the Bohnenblust--Hille inequalities which allows us to prove that the polynomial Bohnenblust--Hille inequality is subexponential.
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