The Journal of the Indian Mathematical Society

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On the Transformation of log η(T)


Affiliations
1 Tata Institute of Fundamental Research, Bombay, India
     

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A particularly simple proof of the equation

log η (- 1/T) = 1/2logT + logη (T)

has recently been given by C. L. Siegel [1]. In that proof contour integration and the calculus of residues are applied to a certain product of cotangents.


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  • On the Transformation of log η(T)

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Authors

Hans Rademacher
Tata Institute of Fundamental Research, Bombay, India

Abstract


A particularly simple proof of the equation

log η (- 1/T) = 1/2logT + logη (T)

has recently been given by C. L. Siegel [1]. In that proof contour integration and the calculus of residues are applied to a certain product of cotangents.