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

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 $b$.

15 pages, to appear in FCNT. Abstract, proposition numbering, and title of reference [6] arXiv:2602.05511 updated to match upcoming publication

References in corpus (2)

• Dirichlet series of integers with missing digits
• Moments in the exact summation of the curious series of Kempner type