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.
(m + t)-color partitions Split partitions Signed partitions Combinatorial interpretations
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The authors would like to thank the anonymous referee(s) for their helpful comments that led to a better presentation of the paper.
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