GNU Scientific Library – Reference Manual: Riemann Zeta Function Minus One

Next: Hurwitz Zeta Function, Previous: Riemann Zeta Function, Up: Zeta Functions [Index]

#### 7.32.2 Riemann Zeta Function Minus 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.

Function: double gsl_sf_zetam1_int (int n)
Function: int gsl_sf_zetam1_int_e (int n, gsl_sf_result * result)

  These routines compute \zeta(n) - 1 for integer n, n \ne 1.

Function: double gsl_sf_zetam1 (double s)
Function: int gsl_sf_zetam1_e (double s, gsl_sf_result * result)

  These routines compute \zeta(s) - 1 for arbitrary s, s \ne 1.