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 “On Some Partition Functions Related to Some Mock Theta Functions”
On the two-dimensional theta functions of the Borweins
Theta series associated with certain positive definite binary quadratic forms
Heng Huat Chan (2015)
Acta Arithmetica
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Recently, P. C. Toh derived identities expressing theta series associated with fundamental idoneal discriminants in terms of generalized Lambert series. His method depends on the fact that the ring of integers of a number field is a Dedekind domain, and is not applicable to theta series associated with non-fundamental idoneal discriminants. The aim of this article is to devise methods for determining the generalized Lambert series representations of theta series associated with non-fundamental...
Generalization of two identities in Ramanujan's lost notebook
Youn-Seo Choi (2004)
Acta Arithmetica
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On the Linear Independence of Certain Theta-Series.
Jürg Kramer (1988)
Mathematische Annalen
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On the seventh order mock theta functions.
Dean Hickerson (1988)
Inventiones mathematicae
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Theta function identities from optical neural network transformations.
Elizade, E., Romeo, A. (1993)
International Journal of Mathematics and Mathematical Sciences
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A proof of the mock theta conjectures.
Dean Hickerson (1988)
Inventiones mathematicae
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The Doi-Naganuma Lifting of Quaternary Theta Series.
Paul Ponomarev (1981)
Mathematische Annalen
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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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Linear relations among theta series of genera of ternary forms
Y. Choie, Y. Chung (2005)
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 Series of Inhomogeneous Quadratic Forms.
Martin Eichler (1982)
Inventiones mathematicae
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Some product formulas for theta functions in one and two variables
David Grant (2002)
Acta Arithmetica
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Eichler Commutation Relations for Theta Series of Nebentypus.
Paul Ponomarev (1988)
Mathematische Annalen
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-color partition theoretic interpretations of some mock theta functions.
Agarwal, A.K. (2004)
The Electronic Journal of Combinatorics [electronic only]
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