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On Integer Partitions with a Fixed Overlined Smallest Part
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AI
DOI：10.1007/s00026-025-00798-3.png)
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Abstract
En 中文
We consider a sequence of integer partitions wherein the smallest part is fixed and its first occurrence may be overlined. Among the results, we prove identities and positivity for this sequence and its weighted versions. As a consequence, we deduce inequalities of integer partitions and we establish Legendre type formulas. Furthermore, we give a full description modulo 2 for our sequences.
Keywords:
Partitions
q-series
Positive q-series
Journal
A
IF:
0.7
Papers:
45
Citations:
0