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Series with binomial-like coefficients for the Riemann zeta function

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Abstract

The paper extends the research on the series with binomial-like coefficients for the computation of zeta functions on the complex plane. It offers alternative perspectives on the proof of central limit theorems for the coefficients of the series. The moment generating function of the coefficients and exact expressions for the first moments of the coefficients of the series are established.

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Correspondence to Igoris Belovas.

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Belovas, I. Series with binomial-like coefficients for the Riemann zeta function. Annali di Matematica 201, 903–912 (2022). https://doi.org/10.1007/s10231-021-01142-1

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  • DOI: https://doi.org/10.1007/s10231-021-01142-1

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