Results 31 to 40 of about 808 (120)
The tenth-order mock theta functions revisited [PDF]
Bulletin of the London Mathematical Society, 2010 In this paper we consider the first four of the eight identities between the tenth order mock theta functions, found in Ramanujan's lost notebook. These were originally proved by Choi. Here we give an alternative (much shorter) proof.
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Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]
Ramanujan J, 2021 Klein D, Kupka J.
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Generating Functions for Generalized Mock Theta Functions [PDF]
Pure and Applied Mathematics Journal, 2013 We consider generalized mock theta functions and give generating functions for the partial generalized mock theta functions.
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, 2002 The mock theta functions were invented by the Indian mathematician Srinivasa Ramanujan, who lived from 1887 until 1920. He discovered them shortly before his death. In this dissertation, I consider several of the examples that Ramanujan gave of mock theta functions, and relate them to real-analytic modular forms of weight 1/2.
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On certain Ramanujan's mock theta functions
Proceedings Mathematical Sciences, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Mathieu mock theta function
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2012 The title of the paper refers to a mock theta function, defined in terms of Appell-Lerch series, whose Fourier coefficients \(A(n)\) are related to the Mathieu group \(M_{24}\) much like the Fourier coefficients of the \(j\)-function are related to the monster group.
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Partitions with short sequences and mock theta functions. [PDF]
Proc Natl Acad Sci U S A, 2005 Andrews GE.
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Neurocognitive Correlates of Clinical Decision Making: A Pilot Study Using Electroencephalography. [PDF]
Brain Sci, 2023 Toy S +6 more
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Cone Vertex Algebras, Mock Theta Functions, and Umbral Moonshine Modules. [PDF]
Commun Math PhysCheng MCN, Sgroi G.
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