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arXiv · 2506.11447

Partitions with unique largest part and their generating functions

H Kaur·M Rana
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Abstract

The paper introduce a new type of partitions where the largest part appears exactly once, and the remaining parts constitute a partition of that largest part. We derive the generating function associated with these partitions and subsequently explore several variations, providing the corresponding generating functions for each variant.

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H Kaur, M Rana. 2025-06-13. Partitions with unique largest part and their generating functions. https://arxiv.org/abs/2506.11447

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