| Pré. | Proc. |
zetac
Riemann zeta function.SYNOPSIS:
double x, y, zetac();
y = zetac(x);
DESCRIPTION:
inf.
- -x
zetac(x) = > k , x > 1,
-
k=2
Is related to the Riemann zeta function by:
Riemann zeta(x) = zetac(x) + 1.
Extension of the function definition for x < 1 is implemented.
Zero is returned for x > log2(MAXNUM).
An overflow error might occur for large negative x, due to the gamma function in the reflection formula.
ACCURACY:
Tabulated values have full machine accuracy.
Relative error:
arithmetic domain # trials peak rms
IEEE 1,50 10000 9.8e-16 1.3e-16
DEC 1,50 2000 1.1e-16 1.9e-17