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arXiv · 2601.23158

Some series representing the zeta function for $\Re(s)>1$

Jean-François Burnol
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Abstract

We represent the Riemann zeta function in the half-plane $\Re s >1$ via series whose terms admit geometrically decreasing bounds. This is based upon simple combinatorics of certain measures, and their associated moments, which are defined on words from an alphabet of digits in a given radix $b$.

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Jean-François Burnol. 2026-01-30. Some series representing the zeta function for $\Re(s)>1$. https://doi.org/10.3934/fcnt.2026023

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