Multifractal behavior of polynomial Fourier series
  We prove non-trivial upper and lower bounds for the "Spectrum of Singularities" of Fourier Series with polynomial frequencies. The Spectrum of Singularities of a function f gives the Hausdorff dimension of the set of points with a given H\"older exponent for f. 
Fernando Chamizo and Adri\'an Ubis
math.NT math.CA