A New Representation of the Riemann Zeta Function ζ(s)

1998/12/24 by Woon, S. C.
#11B68 #11M06 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/9812143

Abstract

A generalization of a well-known relation between the Riemann zeta function ζ(s) and Bernoulli numbers B_n is obtained. The formula is a new representation of the Riemann zeta function in terms of a nested series of Bernoulli numbers.

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