New Congruences for Broken \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document}-Diamond and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document} Dots Bracelet Partitions

被引：0

作者：

Jing-Jun Yu

机构：

[1] East China Normal University,

来源：

Mathematical Notes | 2022年 / 112卷 / 3-4期

关键词：

broken ; -diamond partitions; dots bracelet partitions; congruences; Hecke eigenforms;

D O I：

10.1134/S0001434622090085

中图分类号：

学科分类号：

摘要：

引用

页码：393 / 405

页数：12

共 44 条

[1] ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{document}-Adic properties and congruences of ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{document}-regular partition functions
Ahmad El-Guindy
Mostafa M. Ghazy
Research in Number Theory, 2024, 10 (4)
[2] On the parity of broken k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k$$\end{document}-diamond partitions
Sneha Chaubey
Wei Cheng
Amita Malik
Alexandru Zaharescu
ANNALI DELL'UNIVERSITA' DI FERRARA, 2014, 60 (2) : 347 - 361
[3] Divisibility of sums of some restricted partition numbers by 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textbf {2}}$$\end{document}, 3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textbf {3}}$$\end{document} and 4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textbf {4}}$$\end{document}
Sabi Biswas
Nipen Saikia
Boletín de la Sociedad Matemática Mexicana, 2024, 30 (2)
[4] A further look at the overpartition function modulo 24\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2^4$$\end{document} and 25\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2^5$$\end{document}
Ranganatha Dasappa
Gedela Kavya Keerthana
The Ramanujan Journal, 2024, 65 (3) : 1159 - 1179
[5] New congruences for ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{document}-regular overpartition pairs
C. Shivashankar
D. S. Gireesh
Afrika Matematika, 2022, 33 (3)
[6] Congruences for ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{document}-regular cubic partition pairs
M. S. Mahadeva Naika
S. Shivaprasada Nayaka
Rendiconti del Circolo Matematico di Palermo Series 2, 2018, 67 (3): : 465 - 476
[7] Congruences for ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell$$\end{document}-regular overpartitions into odd parts
C. Shivashankar
D. S. Gireesh
Boletín de la Sociedad Matemática Mexicana, 2022, 28 (1)
[8] ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{document}-Adic properties of partition functions
Eva Belmont
Holden Lee
Alexandra Musat
Sarah Trebat-Leder
Monatshefte für Mathematik, 2014, 173 (1) : 1 - 34
[9] On ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{document}-regular Cubic Partitions with Odd Parts Overlined
M. S. Mahadeva Naika
T. Harishkumar
Bulletin of the Brazilian Mathematical Society, New Series, 2022, 53 (2) : 647 - 663
[10] Congruences modulo 103\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$10^3$$\end{document} for Euler numbers
Shin-ichiro Seki
The Ramanujan Journal, 2016, 40 (1) : 201 - 205

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