The modular function J(τ)

  • Komaravolu Chandrasekharan
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 281)


A complex-valued function F(z) of the complex variable z is said to be a modular function, if it is meromorphic for lm z>0, and F(Mz) = F(z) for all transformations M belonging to the modular group (defined in § 5 of Chapter I), or for all M belonging to a sub-group of the modular group of finite index.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Komaravolu Chandrasekharan
    • 1
  1. 1.Eidgenössische Technische Hochschule ZürichZürichSwitzerland

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