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Browse Graduate Dissertations and Theses at Illinois by Subject "qseries"
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(20100514)Integer partitions play important roles in diverse areas of mathematics such as qseries, the theory of modular forms, representation theory, symmetric functions and mathematical physics. Among these, we study the arithmetic ...
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(20200706)In this thesis, we study three types of partitiontheoretic objects. The first objects studied are odd Ferrers diagrams, which we use in new combinatorial proofs of two general qseries identities containing false theta ...
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(20150121)Some of the most interesting of Ramanujan's continued fraction identities are those involving ratios of Gamma functions in Chapter 12 of his second notebook. This thesis develops a method for deriving such identities, ...
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(20110121)In his notebooks, Ramanujan recorded 40 beautiful modular relations for the RogersRamanujan functions. Of these 40 identities, precisely one involves powers of the RogersRamanujan functions. Ramanujan added the enigmatic ...
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Now showing items 14 of 4