Abstract
Linear inequalities involving Euler’s partition function p(n) have been the subject of recent studies. In this article, we consider the partition function Q(n) counting the partitions of n into distinct parts. Using truncated theta series, we provide four infinite families of linear inequalities for Q(n) and partition theoretic interpretations for these results.
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Merca, M. Linear inequalities concerning partitions into distinct parts. Ramanujan J 58, 491–503 (2022). https://doi.org/10.1007/s11139-021-00427-6
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DOI: https://doi.org/10.1007/s11139-021-00427-6