Probabilities as Values of Modular Forms and Continued Fractions Academic Article uri icon


  • We consider certain probability problems which are naturally related to integer partitions. We show that the corresponding probabilities are values of classical modular forms. Thanks to this connection, we then show that certain ratios of probabilities are specializations of the Rogers-Ramanujan and Ramanujan- Selberg- Gordon-Gllnitz continued fractions. One particular evaluation depends on a result from Ramanujan's famous first letter to Hardy.

published proceedings

  • International Journal of Mathematics and Mathematical Sciences

author list (cited authors)

  • Masri, R., & Ono, K.

citation count

  • 0

complete list of authors

  • Masri, Riad||Ono, Ken

publication date

  • January 2009