The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On the Transformation of log η(T)


Affiliations
1 Tata Institute of Fundamental Research, Bombay, India
     

   Subscribe/Renew Journal


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.


Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 163

PDF Views: 0




  • On the Transformation of log η(T)

Abstract Views: 163  |  PDF Views: 0

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.