On the two-dimensional theta functions of the Borweins
Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2006)
Acta Arithmetica
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Displaying similar documents to “Theta function identities from optical neural network transformations.”
On the two-dimensional theta functions of the Borweins
A proof of the mock theta conjectures.
Dean Hickerson (1988)
Inventiones mathematicae
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Generalization of two identities in Ramanujan's lost notebook
Youn-Seo Choi (2004)
Acta Arithmetica
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Nonnullity of certain liftings by theta series. (Non nullité de certains relévements par séries théta.)
Mœglin, Colette (1997)
Journal of Lie Theory
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On the Linear Independence of Certain Theta-Series.
Jürg Kramer (1988)
Mathematische Annalen
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On Some Partition Functions Related to Some Mock Theta Functions
Alexander E. Patkowski (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that some partitions related to two of Ramanujan's mock theta functions are related to indefinite quadratic forms and real quadratic fields. In particular, we examine a third order mock theta function and a fifth order mock theta function.
On the biquadratic theta series.
Toshiaki Suzuki (1993)
Journal für die reine und angewandte Mathematik
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Septic theta function identities in Ramanujan's lost notebook
Seung Hwan Son (2001)
Acta Arithmetica
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Some product formulas for theta functions in one and two variables
David Grant (2002)
Acta Arithmetica
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Some theorems on the explicit evaluation of Ramanujan's theta-functions.
Baruah, Nayandeep Deka, Bhattacharyya, P. (2004)
International Journal of Mathematics and Mathematical Sciences
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Theta constants of genus three
J. P. Glass (1980)
Compositio Mathematica
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On the theta lift from SO2n+1 to ...n.
Masaaki Furusawa (1995)
Journal für die reine und angewandte Mathematik
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Algebraic methods in the theory of theta functions
Francesco Bottacin (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Quantum mechanics and nonabelian theta functions for the gauge group SU(2)
Răzvan Gelca, Alejandro Uribe (2015)
Fundamenta Mathematicae
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We propose a direction of study of nonabelian theta functions by establishing an analogy between the Weyl quantization of a one-dimensional particle and the metaplectic representation on the one hand, and the quantization of the moduli space of flat connections on a surface and the representation of the mapping class group on the space of nonabelian theta functions on the other. We exemplify this with the cases of classical theta functions and of the nonabelian theta functions for the...