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Showing 1 to 6 of 6 for “"Rogers-Ramanujan functions"”.
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Modular identities for the Rogers-Ramanujan functions and analogues
Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2011-01-21T22:47:37Z Item is restricted until 2013-01-21T22:47:37Z
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Eisenstein Series, Analogues of the Rogers -Ramanujan Functions, and Partition Identities
… inspired by the work of O. Kolberg and S. Ramanujan. We use functions studied by N. J. Fine and R. J. Evans to construct analogues of modular equations, and then derive new identities satisfied by n=0infinity p(ln + k) qn, where p(n) is the ordinary partition function, l is an odd prime, …
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On the Rogers-Ramanujan and Ramanujan-Gollnitz-Gordon Continued Fractions
In a manuscript of Ramanujan, published with his Lost Notebook, there are forty identities involving the Rogers-Ramanujan functions. According to G. N. Watson, the beauty of these identities is comparable to that of the Rogers-Ramanujan identities. In the final chapter, we establish modular …
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Contributions to the Theory of Q-Series and Mock Theta Functions
… time, a series of four related identities from Ramanujan's lost notebook. These are one-parameter identities which would directly imply some of the relations for the third order mock theta functions given by Ramanujan. In Chapter 3, we prove very general theorems on the periodicity of signs of …
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Combinatorial approaches to problems about integer partitions and q-series
… p(n), a new combinatorial interpretation of the Rogers-Ramanujan functions, and quotients involving theta functions and eta functions. Furthermore, we explore the parity of cp(n) and consider a weighted count of copartitions.
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Product Identities for Theta Functions
… of its translates, certain products of theta functions can be written as linear combinations of other products of theta functions. Many known identities, including M. D. Hirschhorn's generalization of the quintuple product identity, several modular relations for the Gollnitz-Gordon functions …