Abstract
Inspired by a recent work of Kim, Kim and Lovejoy on two overpartition difference functions, we study some bipartition difference functions, four of which are related to Ramanujan’s identities recorded in his lost notebook. We show that they are always positive by elementary q-series transformations.
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Acknowledgements
The authors would like to thank the anonymous referees for carefully reading the manuscript and for giving many helpful comments and suggestions which substantially helped improving the quality of the paper. This work was supported by the National Natural Science Foundation of China (No. 11871246).
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Communicated by Jeremy Lovejoy.
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Lin, B.L.S., Lin, X. Some Results for Bipartition Difference Functions. Ann. Comb. (2024). https://doi.org/10.1007/s00026-024-00688-0
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DOI: https://doi.org/10.1007/s00026-024-00688-0