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Bibliographic Details
Main Authors: Lin, Yen-Chi Roger, Pan, Shu-Yen
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.14851
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Table of Contents:
  • 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.