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Mock Theta Functions and Mock Modular Forms

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The Mathematical Legacy of Srinivasa Ramanujan
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Abstract

In 1920, three months before his untimely death, Ramanujan hastily described the beginnings of a new theory he called “mock theta functions.” In 2001, Zwegers in his doctoral thesis, discovered the relation between non-holomorphic modular forms, indefinite theta series, and “mock theta functions.” We briefly describe this development in this chapter.

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© 2013 Springer India

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Murty, M.R., Murty, V.K. (2013). Mock Theta Functions and Mock Modular Forms. In: The Mathematical Legacy of Srinivasa Ramanujan. Springer, India. https://doi.org/10.1007/978-81-322-0770-2_9

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