The rate of growth of moments of certain cotangent sums
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We consider cotangent sums associated to the zeros of the Estermann zeta function considered by the authors in their previous paper (Maier and Rassias, Generalizations of a cotangent sum associated to the Estermann zeta function, 2014). We settle a question on the rate of growth of the moments of these cotangent sums left open in Maier and Rassias (Generalizations of a cotangent sum associated to the Estermann zeta function, 2014), and obtain a simpler proof of the equidistribution of these sums.
KeywordsCotangent sums series equidistribution Estermann zeta function moments continued fractions measure
Mathematics Subject Classification26A12 11L03
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