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RiemannSiegelTheta
RiemannSiegelTheta
[
t
]
gives the Riemann-Siegel function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
for real
.
arises in the study of the Riemann zeta function on the critical line. It is closely related to the number of zeros of
for
.
is an analytic function of
except for branch cuts on the imaginary axis running from
to
.
For certain special arguments,
RiemannSiegelTheta
automatically evaluates to exact values.
RiemannSiegelTheta
can be evaluated to arbitrary numerical precision.
RiemannSiegelTheta
automatically threads over lists.
EXAMPLES
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Basic Examples
(2)
In[1]:=
Out[1]=
Series expansion at infinity:
In[1]:=
Out[1]=
Scope
(5)
Generalizations & Extensions
(2)
Applications
(2)
Properties & Relations
(1)
Possible Issues
(2)
Neat Examples
(1)
SEE ALSO
RiemannSiegelZ
Zeta
RamanujanTauTheta
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Number Theoretic Functions
Prime Numbers
Zeta Functions & Polylogarithms
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