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GNU Scientific Library Reference Manual - Third Edition (v1.12)
by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. Rossi
Paperback (6"x9"), 592 pages, 60 figures
ISBN 0954612078
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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.
ISBN 0954612078GNU Scientific Library Reference Manual - Third Edition (v1.12)See the print edition