In mathematics, the Herglotz–Zagier function, named after Gustav Herglotz and Don Zagier, is the function F ( x ) = ∑ n = 1 ∞ { Γ ′ ( n x ) Γ ( n x ) − log ( n x ) } 1 n . {\displaystyle F(x)=\sum _{n=1}^{\infty }\left\{{\frac {\Gamma ^{\prime }(nx)}{\Gamma (nx)}}-\log(nx)\right\}{\frac {1}{n}}.} introduced by Zagier (1975) who used it to obtain a Kronecker limit formula for real quadratic fields.
In mathematics, the Herglotz–Zagier function, named after Gustav Herglotz and Don Zagier, is the function F ( x ) = ∑ n = 1 ∞ { Γ ′ ( n x ) Γ ( n x ) − log ( n x ) } 1 n . {\displaystyle F(x)=\sum _{n=1}^{\infty }\left\{{\frac {\Gamma ^{\prime }(nx)}{\Gamma (nx)}}-\log(nx)\right\}{\frac {1}{n}}.} introduced by Zagier (1975) who used it to obtain a Kronecker limit formula for real quadratic fields.
Source: Wikipedia "Herglotz–Zagier function" · CC BY-SA 4.0
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