Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider certain probability problems which are naturally related to integer partitions.  show that the corresponding probabilities are values of classical modular forms. Thanks to this connection,  then show that certain ratios of probabilities are specializations of the Rogers-Ramanujan and Ramanujan- Selberg- Gordon-G&#246;llnitz continued fractions. One particular evaluation depends on a result from Ramanujan&#39;s famous first letter to Hardy.
['Riad Masri', 'Ken Ono']
I am writing a research paper on a idea Probabilities as Values of Modular Forms and Continued Fractions
[{"from": "human", "value": "I am writing a research paper on a idea Probabilities as Values of Modular Forms and Continued Fractions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider certain probability problems which are naturally related to integer partitions.  show that the corresponding probabilities are values of classical modular forms. Thanks to this connection,  then show that certain ratios of probabilities are specializations of the Rogers-Ramanujan and Ramanujan- Selberg- Gordon-G&#246;llnitz continued fractions. One particular evaluation depends on a result from Ramanujan&#39;s famous first letter to Hardy."}]