Generalization of two identities in Ramanujan's lost notebook
Youn-Seo Choi (2004)
Acta Arithmetica
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Displaying similar documents to “Arithmetical equivalents for a remarkable identity between theta functions . . . . . . . . . . . . . . .”
Generalization of two identities in Ramanujan's lost notebook
On the two-dimensional theta functions of the Borweins
Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2006)
Acta Arithmetica
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A proof of the mock theta conjectures.
Dean Hickerson (1988)
Inventiones mathematicae
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On curves with a theta-characteristic whose space of sections has dimension 4.
Elisabetta Colombo (1994)
Mathematische Zeitschrift
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On the Linear Independence of Certain Theta-Series.
Jürg Kramer (1988)
Mathematische Annalen
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Theta correspondence for Eisenstein series.
Aloys Krieg, Anton Deitmar (1991)
Mathematische Zeitschrift
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Fonctions theta du second ordre sur la jacobienne d'une courbe lisse.
E. Izadi (1991)
Mathematische Annalen
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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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The Doi-Naganuma Lifting of Quaternary Theta Series.
Paul Ponomarev (1981)
Mathematische Annalen
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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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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 a Property of Siegel Theta-Series.
Michio Ozeki (1977)
Mathematische Annalen
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On the seventh order mock theta functions.
Dean Hickerson (1988)
Inventiones mathematicae
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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.