%0 Journal Article %T When is a trigonometric polynomial not a trigonometric polynomial? %A Joseph E. Borzellino %A Morgan Sherman %J Mathematics %D 2011 %I arXiv %R 10.4169/amer.math.monthly.119.05.422 %X As an application of B\'ezout's theorem from algebraic geometry, we show that the standard notion of a trigonometric polynomial does not agree with a more naive, but reasonable notion of trigonometric polynomial. %U http://arxiv.org/abs/1102.3907v2