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Concept information

mathematical physics > dynamical systems theory > dynamical system > Gauss-Kuzmin-Wirsing operator
number > elementary arithmetic > fraction > continued fraction > Gauss-Kuzmin-Wirsing operator
mathematical analysis > real analysis > continued fraction > Gauss-Kuzmin-Wirsing operator

Terme préférentiel

Gauss-Kuzmin-Wirsing operator  

Définition

  • In mathematics, the Gauss–Kuzmin–Wirsing operator is the transfer operator of the Gauss map that takes a positive number to the fractional part of its reciprocal. (This is not the same as the Gauss map in differential geometry.) It is named after Carl Gauss, Rodion Kuzmin, and Eduard Wirsing. It occurs in the study of continued fractions; it is also related to the Riemann zeta function.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Gauss%E2%80%93Kuzmin%E2%80%93Wirsing_operator)

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URI

http://data.loterre.fr/ark:/67375/PSR-N58DMHQC-M

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RDF/XML TURTLE JSON-LD Date de création 04/08/2023, dernière modification le 24/08/2023