Some explicit values for ratios of theta-functions.
Mahadeva Naika, M.S., Madhusudhan, H.S. (2005)
General Mathematics
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Displaying similar documents to “Qseries Maple tutorial: A -product tutorial for a -series Maple package.”
Some explicit values for ratios of theta-functions.
Modular properties of theta-functions and representation of numbers by positive quadratic forms.
Vepkhvadze, T. (1997)
Georgian Mathematical Journal
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Supernomial coefficients, supernomials coefficients Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems.
Warnaar, S.Ole (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Class invariants and cyclotomic unit groups from special values of modular units
Amanda Folsom (2008)
Journal de Théorie des Nombres de Bordeaux
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In this article we obtain class invariants and cyclotomic unit groups by considering specializations of modular units. We construct these modular units from functional solutions to higher order -recurrence equations given by Selberg in his work generalizing the Rogers-Ramanujan identities. As a corollary, we provide a new proof of a result of Zagier and Gupta, originally considered by Gauss, regarding the Gauss periods. These results comprise part of the author’s 2006 Ph.D. thesis []...
The number-theoretic content of the Jacobi triple product identity.
Wilf, Herbert S. (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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On entire modular forms of half-integral weight on the congruence subgroup .
Lomadze, G. (2004)
Georgian Mathematical Journal
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-rank differences for partitions without repeated odd parts
Jeremy Lovejoy, Robert Osburn (2009)
Journal de Théorie des Nombres de Bordeaux
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We prove formulas for the generating functions for -rank differences for partitions without repeated odd parts. These formulas are in terms of modular forms and generalized Lambert series.
On the dimension of some spaces of generalized ternary theta-series.
Shavgulidze, K. (2002)
Georgian Mathematical Journal
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Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture.
Langer, Robin, Schlosser, Michael J., Warnaar, S.Ole (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Adding to the argument of a Hall-Littlewood polynomial.
Lascoux, Alain (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Hooks and powers of parts in partitions.
Bacher, Roland, Manivel, Laurent (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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