On Some Combinatorics of Rogers–Ramanujan Type Identities Using Signed Color Partitions

V. Gupta () and M. Rana ()
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V. Gupta: School of Mathematics, Thapar Institute of Engineering and Technology
M. Rana: School of Mathematics, Thapar Institute of Engineering and Technology

Chapter Chapter 3 in Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, 2019, pp 101-118 from Springer

Abstract: Abstract In this work we use combinatorial tools “color partitions,” “split color partitions,” and “signed partitions” notion to define “signed color partitions” that are further used to derive one hundred Rogers–Ramanujan type identities. The paper lists and provides combinatorial argument using signed color partitions of q-identities listed in Chu–Zhang and Slater’s compendium.

Keywords: (m + t)-color partitions; Split partitions; Signed partitions; Combinatorial interpretations (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-15242-0_3

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DOI: 10.1007/978-3-030-15242-0_3

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