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On the functional equations satisfied by modular functions
Published online by Cambridge University Press: 26 February 2010
Extract
The Dedekind η-function is defined by
and is well-known to satisfy a functional equation relating η(aτ + b/cτ + d) to η (τ), where a, b, c, d are rational integers with ad – bc = 1—see for instance Iseki [2], and the further references cited there.
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- Copyright © University College London 1978
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