![](/images/graphics-bg.png)
Probabilities as Values of Modular Forms and Continued Fractions
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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-Göllnitz continued fractions.
One particular evaluation depends on a result from Ramanujan's famous first letter to Hardy.
American Psychological Association (APA)
Masri, Riad& Ono, Ken. 2009. Probabilities as Values of Modular Forms and Continued Fractions. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-510062
Modern Language Association (MLA)
Masri, Riad& Ono, Ken. Probabilities as Values of Modular Forms and Continued Fractions. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-11.
https://search.emarefa.net/detail/BIM-510062
American Medical Association (AMA)
Masri, Riad& Ono, Ken. Probabilities as Values of Modular Forms and Continued Fractions. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-510062
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510062