“Herglotz–Zagier function”的意思、由来-开放百科全书

词条

Herglotz–Zagier function

释义

In mathematics, the Herglotz–Zagier function, named after Gustav Herglotz and Don Zagier, is the function

introduced by {{harvtxt|Zagier|1975}} who used it to obtain a Kronecker limit formula for real quadratic fields.

References

{{citation|first=G. |last=Herglotz | authorlink=Gustav Herglotz| journal=Berichte über die Verhandlungen der Königlich-Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse |volume= 75 |year=1923|pages= 3–14}}
{{Citation | last1=Masri | first1=Riad | title=The Herglotz–Zagier function, double zeta functions, and values of L-series | doi=10.1016/j.jnt.2004.01.004 | mr=2059072 | year=2004 | journal=Journal of Number Theory | issn=0022-314X | volume=106 | issue=2 | pages=219–237}}
{{Citation | last1=Zagier | first1=Don | authorlink=Don Zagier| title=A Kronecker limit formula for real quadratic fields | doi=10.1007/BF01343950 | mr=0366877 | year=1975 | journal=Mathematische Annalen | issn=0025-5831 | volume=213 | pages=153–184}}

1 : Special functions

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