Riemann-Siegel Functions
For a Real Positive 
, the Riemann-Siegel 
function is defined by
The top plot superposes
(thick line) on 
, where 
is the Riemann Zeta Function.
The Riemann-Siegel theta function appearing above is defined by
 |  |  | |
 |  |
These functions are implemented in Mathematica
(Wolfram Research, Champaign, IL) as RiemannSiegelZ[z] and RiemannSiegelTheta[z], illustrated above.See also Riemann Zeta Function
References
Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 143, 1991.
- Darboux Vector
- Darling's Products
- Dart
- Darwin-de Sitter Spheroid
- Darwin's Expansions
- Database
- Data Structure
- Daubechies Wavelet Filter
- Davenport-Schinzel Sequence
- Dawson's Integral
- Day of Week
- de Bruijn Constant
- de Bruijn Diagram
- de Bruijn Graph
- de Bruijn-Newman Constant
- de Bruijn Sequence
- de Bruijn's Theorem
- Debye Functions
- Debye's Asymptotic Representation
- Decagon
- Decagonal Number
- Decagram
- Decic Surface
- Decidable
- Decillion