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Next: <a href="Hurwitz-Zeta-Function.html#Hurwitz-Zeta-Function" accesskey="n" rel="next">Hurwitz Zeta Function</a>, Previous: <a href="Riemann-Zeta-Function.html#Riemann-Zeta-Function" accesskey="p" rel="previous">Riemann Zeta Function</a>, Up: <a href="Zeta-Functions.html#Zeta-Functions" accesskey="u" rel="up">Zeta Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Riemann-Zeta-Function-Minus-One-1"></a>
<h4 class="subsection">7.32.2 Riemann Zeta Function Minus One</h4>

<p>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.
</p>
<dl>
<dt><a name="index-gsl_005fsf_005fzetam1_005fint"></a>Function: <em>double</em> <strong>gsl_sf_zetam1_int</strong> <em>(int <var>n</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fzetam1_005fint_005fe"></a>Function: <em>int</em> <strong>gsl_sf_zetam1_int_e</strong> <em>(int <var>n</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute <em>\zeta(n) - 1</em> for integer <var>n</var>,
<em>n \ne 1</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fzetam1"></a>Function: <em>double</em> <strong>gsl_sf_zetam1</strong> <em>(double <var>s</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fzetam1_005fe"></a>Function: <em>int</em> <strong>gsl_sf_zetam1_e</strong> <em>(double <var>s</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute <em>\zeta(s) - 1</em> for arbitrary <var>s</var>,
<em>s \ne 1</em>.
</p></dd></dl>





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