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On weighted signed color partitions

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Abstract

In this paper, we provide combinatorial interpretations of certain proved Rogers–Ramanujan type identities using signed color partitions with attached weights. The approach of using the signed color partitions is interesting since negative exponents do not make an explicit appearance in these identities.

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Acknowledgements

The first and second authors are supported by the National Board for Higher Mathematics through Grant No. 2/48(18)/2016/NBHM(R.P.)/R&D II/14983. This work is supported by NBHM Grant No. 2/48(18)/2016/NBHM(R.P.)/R&DII/14983.

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  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147 004, India

    V Gupta, M Rana & S Sharma

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  1. V Gupta
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  2. M Rana
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  3. S Sharma
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Correspondence to M Rana.

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Communicating Editor: B Sury

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Gupta, V., Rana, M. & Sharma, S. On weighted signed color partitions. Proc Math Sci 130, 10 (2020). https://doi.org/10.1007/s12044-019-0545-1

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  • DOI: https://doi.org/10.1007/s12044-019-0545-1

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