[mpmath] r1222 committed - include new functions in documentation

[mpm...@googlecode.com]

Revision: 1222
Author: fredrik.johansson
Date: Mon Jan 31 10:38:53 2011
Log: include new functions in documentation
http://code.google.com/p/mpmath/source/detail?r=1222

Modified:
/trunk/doc/source/functions/numtheory.txt
/trunk/doc/source/functions/zeta.txt

=======================================
--- /trunk/doc/source/functions/numtheory.txt Wed Jul 28 13:09:06 2010
+++ /trunk/doc/source/functions/numtheory.txt Mon Jan 31 10:38:53 2011
@@ -70,3 +70,11 @@
:func:`cyclotomic`
^^^^^^^^^^^^^^^^^^
.. autofunction:: mpmath.cyclotomic(n,x)
+
+
+Arithmetic functions
+......................
+
+:func:`mangoldt`
+^^^^^^^^^^^^^^^^^^
+.. autofunction:: mpmath.mangoldt(n)
=======================================
--- /trunk/doc/source/functions/zeta.txt Wed Jul 28 13:09:06 2010
+++ /trunk/doc/source/functions/zeta.txt Mon Jan 31 10:38:53 2011
@@ -4,7 +4,8 @@
This section includes the Riemann zeta functions
and associated functions pertaining to analytic number theory.

-Riemann-Hurwitz zeta function and Dirichlet series
+
+Riemann and Hurwitz zeta functions
..................................................

:func:`zeta`
@@ -19,25 +20,28 @@
^^^^^^^^^^^^^^^^^^
.. autofunction:: mpmath.dirichlet(s,chi,derivative=0)

-Prime zeta function
+
+Stieltjes constants
...................

-:func:`primezeta`
+:func:`stieltjes`
^^^^^^^^^^^^^^^^^
-.. autofunction:: mpmath.primezeta(s)
+.. autofunction:: mpmath.stieltjes(n,a=1)
+

Zeta function zeros
......................................

+These functions are used for the study of the Riemann zeta function
+in the critical strip.
+
:func:`zetazero`
^^^^^^^^^^^^^^^^
.. autofunction:: mpmath.zetazero(n, verbose=False)

-Riemann-Siegel functions and Gram points
-........................................
-
-These functions are used for the study of the Riemann zeta function
-in the critical strip.
+:func:`nzeros`
+^^^^^^^^^^^^^^^^
+.. autofunction:: mpmath.nzeros(t)

:func:`siegelz`
^^^^^^^^^^^^^^^^^
@@ -51,23 +55,26 @@
^^^^^^^^^^^^^^^^^
.. autofunction:: mpmath.grampoint(n)

-Stieltjes constants
-...................
-
-:func:`stieltjes`
+:func:`backlunds`
^^^^^^^^^^^^^^^^^
-.. autofunction:: mpmath.stieltjes(n,a=1)
-
-Polylogarithms
+.. autofunction:: mpmath.backlunds(t)
+
+
+Lerch transcendent
................................

+:func:`lerchphi`
+^^^^^^^^^^^^^^^^
+.. autofunction:: mpmath.lerchphi(z,s,a)
+
+
+Polylogarithms and Clausen functions
+.......................................
+
:func:`polylog`
^^^^^^^^^^^^^^^
.. autofunction:: mpmath.polylog(s,z)

-Clausen functions
-.................
-
:func:`clsin`
^^^^^^^^^^^^^^^^^
.. autofunction:: mpmath.clsin(s, z)
@@ -76,9 +83,18 @@
^^^^^^^^^^^^^^^^^
.. autofunction:: mpmath.clcos(s, z)

-Polyexponentials
-..................................
-
:func:`polyexp`
^^^^^^^^^^^^^^^^^
.. autofunction:: mpmath.polyexp(s,z)
+
+
+Zeta function variants
+..........................
+
+:func:`primezeta`
+^^^^^^^^^^^^^^^^^
+.. autofunction:: mpmath.primezeta(s)
+
+:func:`secondzeta`
+^^^^^^^^^^^^^^^^^^
+.. autofunction:: mpmath.secondzeta(s, a=0.015, **kwargs)