{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86836"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86836","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Eisenstein Series, Analogues of the Rogers -Ramanujan Functions, and Partition Identities","abstract":"Chapter 4 is devoted to finding new 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, and 0 ≤ k ≤ (l - 1).","abstract_html":"Chapter 4 is devoted to finding new partition identities inspired by the work of O. Kolberg and S. Ramanujan. We use functions studied by N. J. Fine and R. J. 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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, and 0 ≤ k ≤ (l - 1).","Made available in DSpace on 2015-09-28T15:19:47Z (GMT). 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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, and 0 ≤ k ≤ (l - 1).","Made available in DSpace on 2015-09-28T15:19:47Z (GMT). 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