RiemannSiegelTheta
gives the Riemann–Siegel function 
.
Details
- 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
open all close allBasic Examples (2)
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Series expansion at infinity:
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Scope (19)
Generalizations & Extensions (2)
Applications (2)
Properties & Relations (2)
Possible Issues (2)
Neat Examples (1)
Related Links
Introduced in 1991
(2.0)