Mock Theta Functions and Mock Modular Forms

M. Ram Murty and V. Kumar Murty
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M. Ram Murty: Queen’s University, Department of Mathematics and Statistics
V. Kumar Murty: University of Toronto, Department of Mathematics

Chapter Chapter 9 in The Mathematical Legacy of Srinivasa Ramanujan, 2013, pp 129-134 from Springer

Abstract: 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.

Keywords: Modular Form; Theta Function; Jacobi Form; Mock Theta Function; Maass Form (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-81-322-0770-2_9

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