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arXiv · 2406.14851

A Recursive Relation for Bipartition Numbers

Yen-Chi Roger Lin·Shu-Yen Pan
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Abstract

We establish a recursive relation for the bipartition number $p_2(n)$ which might be regarded as an analogue of Euler's recursive relation for the partition number $p(n)$. Two proofs of the main result are proved in this article. The first one is using the generating function, and the second one is using combinatoric objects (called ``symbols'') created by Lusztig for studying representation theory of finite classical groups.

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Yen-Chi Roger Lin, Shu-Yen Pan. 2024-06-21. A Recursive Relation for Bipartition Numbers. https://arxiv.org/abs/2406.14851

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