The order of magnitude for moments for certain cotangent sums
  We settle a question on the rate of growth of the moments of cotangent sums considered by the authors in their previous papers [8], [9]. We even obtain the true order of magnitude of these moments. We include as well the moments of order $2k$ between fixed multiples of $(2k)!/\pi^{2k}$. 
Helmut Maier and Michael Th. Rassias
math.NT