While on his death bed, the brilliant Indian mathematician Srinivasa Ramanujan cryptically wrote down functions he said came to him in dreams, with a hunch about how they behaved. Now 100 years ...

formally defined mock theta functions, using ideas shaped decades after Ramanujan's death. Yet still mathematicians could not explain Ramanujan's assertion that these functions mimic modular forms ...

My research interests lie primarily in number theory and combinatorics, in particular the theory of partitions, special functions in the orbit of modular forms (q-series mock theta functions, quantum ...

However, this actually had the opposite effect, disrupting theta wave activity, and temporarily weakened memory function. Ranganath said he’s surprised the devices work as well as they appear to do.