Jacobi zeta function

In mathematics, the Jacobi zeta function Z(u) is the logarithmic derivative of the Jacobi theta function

Θ(u) = θ₄(πu/2K).

References

Abramowitz, Milton; Stegun, Irene A., eds. (December 1972) [1964]. "Chapter 16". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series 55 (10 ed.). New York, USA: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 578. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642.

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