The Number of Partitions into Distinct Parts Modulo Powers of 5
The Number of Partitions into Distinct Parts Modulo Powers of 5
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DOI：
10.1112/s0024609302001492
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发表时间：
2003-01
影响因子：
0.9
通讯作者：
Jeremy Lovejoy
中科院分区：
文献类型：
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作者：
Jeremy Lovejoy
在24 n + 1的因子分解和Q（n）的5-整除性之间建立了一个关系，其中Q（n）是n划分为不同部分的次数。作为应用，我们得到了Q（n）模5的幂的无穷多个同余.
A relationship is established between the factorization of 24n + 1 and the 5‐divisibility of Q(n), where Q(n)is the number of partitions of n into distinct parts. As an application, an abundance of infinite families of congruences for Q(n) modulo powers of 5 are explicitly exhibited.