wehub-resource-sync
61 lines
1.2 KiB
ReStructuredText
61 lines
1.2 KiB
ReStructuredText
Zeta functions, L-series and polylogarithms
|
|
-------------------------------------------
|
|
|
|
This section includes the Riemann zeta functions and associated functions
|
|
pertaining to analytic number theory.
|
|
|
|
|
|
Riemann and Hurwitz zeta functions
|
|
..................................
|
|
|
|
.. autofunction:: mpmath.zeta
|
|
|
|
|
|
Dirichlet L-series
|
|
..................
|
|
|
|
.. autofunction:: mpmath.altzeta
|
|
.. autofunction:: mpmath.dirichlet
|
|
|
|
|
|
Stieltjes constants
|
|
...................
|
|
|
|
.. autofunction:: mpmath.stieltjes
|
|
|
|
|
|
Zeta function zeros
|
|
...................
|
|
|
|
These functions are used for the study of the Riemann zeta function in the
|
|
critical strip.
|
|
|
|
.. autofunction:: mpmath.zetazero
|
|
.. autofunction:: mpmath.nzeros
|
|
.. autofunction:: mpmath.siegelz
|
|
.. autofunction:: mpmath.siegeltheta
|
|
.. autofunction:: mpmath.grampoint
|
|
.. autofunction:: mpmath.backlunds
|
|
|
|
|
|
Lerch transcendent
|
|
..................
|
|
|
|
.. autofunction:: mpmath.lerchphi
|
|
|
|
|
|
Polylogarithms and Clausen functions
|
|
....................................
|
|
|
|
.. autofunction:: mpmath.polylog
|
|
.. autofunction:: mpmath.clsin
|
|
.. autofunction:: mpmath.clcos
|
|
.. autofunction:: mpmath.polyexp
|
|
|
|
|
|
Zeta function variants
|
|
......................
|
|
|
|
.. autofunction:: mpmath.primezeta
|
|
.. autofunction:: mpmath.secondzeta
|