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Arithmetic properties of l-regular partitions and l-regular bipartitionsArithmetic properties of l-regular partitions and l-regular...Shruthi and B. R. S. Kumar
被引：0
作者：
B. R. Srivatsa Shruthi
[1
]
undefined Kumar
[1
]
机构：
[1] Manipal Academy of Higher Education,Department of Mathematics, Manipal Institute of Technology
来源：
Rendiconti del Circolo Matematico di Palermo Series 2
|
2024年
/
73卷
/
8期
关键词：
-regular partition;
-regular bipartition;
-identity;
Partition congruence;
Continued fraction;
05A15;
05A17;
11P82;
D O I：
10.1007/s12215-024-01082-8
中图分类号：
学科分类号：
摘要：
For any positive integer l, let bl(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$b_l(n)$$\end{document} and Bl(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$B_l(n)$$\end{document} represent the number of l-regular partitions and l-regular bipartitions respectively. By employing q-identities, we prove new congruences for b11(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$b_{11}(n)$$\end{document}, b19(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$b_{19}(n)$$\end{document}, b55(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$b_{55}(n)$$\end{document}, B11(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$B_{11}(n)$$\end{document} and B13(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$B_{13}(n)$$\end{document}.
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页码：3055 / 3064
页数：9
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