On the Hurwitz function for rational arguments

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摘要

Using functional properties of the Hurwitz zeta function and symbolic derivatives of the trigonometric functions, the function ζ(2n + 1, p/q) is expressed in several ways in terms of other mathematical functions and numbers, including in particular the Glaisher numbers.

论文关键词:Riemann zeta function,Hurwitz zeta function,Multiple gamma function,Stirling numbers,Bernoulli numbers,Euler numbers,Glaisher’s numbers,Derivatives of the cotangent

论文评审过程:Available online 12 October 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.08.096