Let a general theta function be defined as
then
See alsoBlecksmith-Brillhart-Gerst Theorem,
Jacobi Triple Product,
Ramanujan Theta Functions Explore with Wolfram|Alpha ReferencesBorwein, J. M. and Borwein, P. B. Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity. New York: Wiley, p. 111, 1987.Tannery, J. and Molk, J. Elements de la Théorie des Fonctions Elliptiques, 4 vols. Paris: Gauthier-Villars et fils, 1893-1902. Referenced on Wolfram|AlphaSchröter's Formula Cite this as:Weisstein, Eric W. "Schröter's Formula." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SchroetersFormula.html
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