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The order of magnitude for moments for certain cotangent sums (1412.1512v2)
Published 3 Dec 2014 in math.NT
Abstract: 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 $(2k)!/\pi{2k}$.
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