Abstract
In this paper, we propose two new statistics related to the minimal excludant, one of which is equidistributed with the number of even parts. According to the parity of these two statistics, we establish two interesting partition inequalities.
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The authors would like to thank the referees for helpful comments and suggestions.
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Xiaowei Lin wrote the main manuscript text, All authors discussed and reviewed the manuscript.
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This work was supported by the National Natural Science Foundation of China (No. 11871246) and the Natural Science Foundation of Fujian Province of China.
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Lin, B.L.S., Lin, X. Two partition inequalities related to the minimal excludant. Ramanujan J 63, 183–193 (2024). https://doi.org/10.1007/s11139-023-00753-x
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DOI: https://doi.org/10.1007/s11139-023-00753-x