Recurrence sequences connected with the m–ary partition function and their divisibility properties,Journal of Number Theory

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Recurrence sequences connected with the m–ary partition function and their divisibility properties
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.jnt.2019.09.023
Błażej Żmija

In this paper we introduce a class of sequences connected with the $m$--ary partition function and investigate their congruence properties. In particular, we get facts about the sequences of $m$--ary partitions $(b_{m}(n))_{m\in\mathbb{N}}$ and $m$--ary partitions with no gaps $(c_{m}(n))_{m\in\mathbb{N}}$. We prove, for example, that for any natural number $2

中文翻译：

与m-ary分配函数相关的循环序列及其可分性

在本文中，我们介绍了一类与 $m$--ary 分区函数相连的序列，并研究了它们的同余性。特别是，我们得到了关于 $m$--ary 分区 $(b_{m}(n))_{m\in\mathbb{N}}$ 和 $m$--ary 分区序列的事实，没有间隙$(c_{m}(n))_{m\in\mathbb{N}}$。例如，我们证明对于任何自然数 $2

更新日期：2020-06-01

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