“Riemann-Siegel Functions”的概念、定义、习题解题方法及翻译-数学辞典

单词 Riemann-Siegel Functions

释义

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.

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