TY - JOUR AU - Bayart, F. AU - Pellegrino, D. AU - Seoane-SepĂșlveda, Juan B. PY - 2014 DO - 10.1016/j.aim.2014.07.029 SN - 0001-8708 UR - https://hdl.handle.net/20.500.14352/33847 T2 - Advances in mathematics AB - 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... LA - eng M2 - 726 PB - Elsevier KW - Bohr radius KW - Interpolation KW - Bohnenblust–Hille inequality TI - The Bohr radius of the $ n $-dimensional polydisk is equivalent to $\ sqrt {\ frac {\ log n}{n}} $ TY - journal article VL - 264 ER -