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Terme préférentiel

Riemann-Siegel formula  

Définition

  • In mathematics, the Riemann–Siegel formula is an asymptotic formula for the error of the approximate functional equation of the Riemann zeta function, an approximation of the zeta function by a sum of two finite Dirichlet series. It was found by Siegel (1932) in unpublished manuscripts of Bernhard Riemann dating from the 1850s. Siegel derived it from the Riemann–Siegel integral formula, an expression for the zeta function involving contour integrals. It is often used to compute values of the Riemann–Siegel formula, sometimes in combination with the Odlyzko–Schönhage algorithm which speeds it up considerably. When used along the critical line, it is often useful to use it in a form where it becomes a formula for the Z function.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Riemann%E2%80%93Siegel_formula)

Concept générique

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http://data.loterre.fr/ark:/67375/PSR-JR31C2H3-1

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RDF/XML TURTLE JSON-LD Date de création 22/08/2023, dernière modification le 18/10/2024