Harman Patil (Editor)

Herglotz–Zagier function

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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 .

introduced by Zagier (1975) who used it to obtain a Kronecker limit formula for real quadratic fields.

References

Herglotz–Zagier function Wikipedia
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