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Showing 1 to 3 of 3 for “"modular relations"”.

  1. On the Rogers-Ramanujan and Ramanujan-Gollnitz-Gordon Continued Fractions

    Huang, Sen-ShanUniversity of Illinois at Urbana-Champaign2015

    … identities. In the final chapter, we establish modular relations involving the Gollnitz-Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting theorems on partitions from some of the modular relations.

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  2. Product Identities for Theta Functions

    Cao, ZhuUniversity of Illinois at Urbana-Champaign2015

    … of the quintuple product identity, several modular relations for the Gollnitz-Gordon functions found by S.-S. Huang in [34], and identities involving septic Rogers-Ramanujan functions obtained by H. Hahn in [29], are shown to be special cases of this general formula. We also obtain a …

    uiuc Repository record

  3. Modular identities for the Rogers-Ramanujan functions and analogues

    Gugg, ChadwickUniversity of Illinois at Urbana-Champaign2011

    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

    uiuc Repository record