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Herglotz–Zagier function
In mathematics, the Herglotz–Zagier function, named after Gustav Herglotz and Don Zagier, is the function
:F(x)= \sum^{\infty}_{n=1} \left{\frac{\Gamma^{\prime}(nx)}{\Gamma (nx)} -\log (nx)\right} \frac{1}{n}.
introduced by who used it to obtain a Kronecker limit formula for real quadratic fields.
References
Über die Kroneckersche Grenzformel für reelle, quadratische Körper |volume= 75 |year=1923|pages= 3–14|jfm=49.0125.03}}
References
- (2004). "The Herglotz–Zagier function, double zeta functions, and values of L-series". [[Journal of Number Theory]].
- (1975). "A Kronecker limit formula for real quadratic fields". [[Mathematische Annalen]].
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