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Arithmetic properties of colored p-ary partitions
被引：0
作者：
B. Żmija
机构：
[1] Charles University,Faculty of Mathematics and Physics, Department of Algebra
[2] Jagiellonian University in Kraków,Faculty of Mathematics and Computer Science, Institute of Mathematics
来源：
Acta Mathematica Hungarica
|
2023年
/
171卷
关键词：
p-ary partition;
congruence;
colored partition;
generating function;
11P83;
11P81;
05A15;
05A17;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study divisibility properties of p-ary partitions colored with k(p − 1) colors for some positive integer k. In particular, we obtain a precise description of p-adic valuations in the case of k=pα\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$k=p^{\alpha}$$\end{document} and k=pα-1\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$k=p^{\alpha}-1$$\end{document}.
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页码：53 / 66
页数：13
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