Module rgsl::zeta

The Riemann zeta function is defined in Abramowitz & Stegun, Section 23.2.

Modules

eta	The eta function is defined by \eta(s) = (1-2{1-s}) \zeta(s).
hurwitz	The Hurwitz zeta function is defined by \zeta(s,q) = \sum_0\infty (k+q){-s}.
riemann	The Riemann zeta function is defined by the infinite sum \zeta(s) = \sum_{k=1}\infty k{-s}.
riemann_mins_one	For large positive argument, the Riemann zeta function approaches one. In this region the fractional part is interesting, and therefore we need a function to evaluate it explicitly.