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Concept information

mathematical analysis > calculus > series > Dirichlet series > Shimizu L-function
... > number > number theory > analytic number theory > L-function > Dirichlet series > Shimizu L-function
... > mathematical analysis > complex analysis > meromorphic function > L-function > Dirichlet series > Shimizu L-function

Terme préférentiel

Shimizu L-function  

Définition(s)

  • In mathematics, the Shimizu L-function, introduced by Hideo Shimizu (1963), is a Dirichlet series associated to a totally real algebraic number field. Michael Francis Atiyah, H. Donnelly, and I. M. Singer (1983) defined the signature defect of the boundary of a manifold as the eta invariant, the value as s=0 of their eta function, and used this to show that Hirzebruch's signature defect of a cusp of a Hilbert modular surface can be expressed in terms of the value at s=0 or 1 of a Shimizu L-function.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Shimizu_L-function)

Concept(s) générique(s)

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URI

http://data.loterre.fr/ark:/67375/PSR-S4NFGC68-V

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RDF/XML TURTLE JSON-LD Date de création 22/08/2023, dernière modif. 22/08/2023