论文标题
分区的枚举Modulo 4
Enumeration of Partitions modulo 4
论文作者
论文摘要
可能与分区$λ$相对应的形状的标准Young Tableaux数量称为分区的尺寸，并用$ f^λ$表示。 McKay列举了具有奇数尺寸的分区，并由MacDonald进一步分类。 Let $a_i(n)$ be the number of partitions of $n$ with dimension congruent to $i$ modulo 4. In this paper, we refine Macdonald's and McKay's results by calculating $a_1(n)$ and $a_3(n)$ when $n$ has no consecutive 1s in its binary expansion or when the sum of binary digits of $n$ is 2 and giving a recursive formula to compute所有$ n $ $ a_2（n）$。
The number of standard Young tableaux possible of shape corresponding to a partition $λ$ is called the dimension of the partition and is denoted by $f^λ$. Partitions with odd dimensions were enumerated by McKay and were further classified by Macdonald. Let $a_i(n)$ be the number of partitions of $n$ with dimension congruent to $i$ modulo 4. In this paper, we refine Macdonald's and McKay's results by calculating $a_1(n)$ and $a_3(n)$ when $n$ has no consecutive 1s in its binary expansion or when the sum of binary digits of $n$ is 2 and giving a recursive formula to compute $a_2(n)$ for all $n$.
