On the Rogers-Ramanujan continued fraction

  • K. G. Ramanathan

DOI: 10.1007/BF02840651

Cite this article as:
Ramanathan, K.G. Proc. Indian Acad. Sci. (Math. Sci.) (1984) 93: 67. doi:10.1007/BF02840651


In the “Lost” note book, Ramanujan had stated a large number of results regarding evaluation of his continued fraction\(R(\tau ) = \frac{{exp2\pi i\tau /}}{{1 + }}\frac{{5exp(2\pi i\tau )}}{{1 + }}\frac{{exp(4\pi i\tau )}}{{1 + }}...\) for certain values of τ. It is shown that all these results and many more have their source in the Kronecker limit formula.


Continued fractionsKronecker limit formulaDirichlet series

Copyright information

© Indian Academy of Sciences 1984

Authors and Affiliations

  • K. G. Ramanathan
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchBombayIndia