%0 Journal Article %T On Pleijel's nodal domain theorem %A Jean Bourgain %J Mathematics %D 2013 %I arXiv %X A slight improvement of Pleijel's estimate on the number of nodal domains is obtained, exploiting a refinement of the Faber-Krahn inequality and packing density of discs. %U http://arxiv.org/abs/1308.4422v1