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

  • V. Gupta
  • M. RanaEmail author
Chapter

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 

Notes

Acknowledgments

The authors would like to thank the anonymous referee(s) for their helpful comments that led to a better presentation of the paper.

References

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Mathematics, Thapar Institute of Engineering and TechnologyPatialaIndia

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