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Refinement of some partition identities of Merca and Yee
被引:2
作者
:
Mahanta, Pankaj Jyoti
论文数:
0
引用数:
0
h-index:
0
机构:
Gonit Sora, Dhalpur 784165, Assam, India
Gonit Sora, Dhalpur 784165, Assam, India
Mahanta, Pankaj Jyoti
[
1
]
Saikia, Manjil P.
论文数:
0
引用数:
0
h-index:
0
机构:
Cardiff Univ, Sch Math, Cardiff CF24 4AG, Wales
Gonit Sora, Dhalpur 784165, Assam, India
Saikia, Manjil P.
[
2
]
机构
:
[1]
Gonit Sora, Dhalpur 784165, Assam, India
[2]
Cardiff Univ, Sch Math, Cardiff CF24 4AG, Wales
来源
:
INTERNATIONAL JOURNAL OF NUMBER THEORY
|
2022年
/ 18卷
/ 05期
关键词
:
Integer partitions;
generating functions;
partition identities;
truncated partition theorems;
D O I
:
10.1142/S1793042122500592
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
Recently, Merca and Yee proved some partition identities involving two new partition statistics. We refine these statistics and generalize the results of Merca and Yee. We also correct a small mistake in a result of Merca and Yee.
引用
收藏
页码:1131 / 1142
页数:12
相关论文
共 5 条
[1]
Andrews G. E., 1998, CAMBRIDGE MATH LIB
[2]
Truncated theta series and a problem of Guo and Zeng
[J].
Andrews, George E.
论文数:
0
引用数:
0
h-index:
0
机构:
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Andrews, George E.
;
Merca, Mircea
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Romanian Scientists, Splaiul Independentei 54, Bucharest 050094, Romania
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Merca, Mircea
.
JOURNAL OF COMBINATORIAL THEORY SERIES A,
2018,
154
:610
-619
[3]
The truncated pentagonal number theorem
[J].
Andrews, George E.
论文数:
0
引用数:
0
h-index:
0
机构:
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Andrews, George E.
;
Merca, Mircea
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Craiova, Doctoral Sch Appl Math, Craiova 200585, Romania
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Merca, Mircea
.
JOURNAL OF COMBINATORIAL THEORY SERIES A,
2012,
119
(08)
:1639
-1643
[4]
Merca M., 2020, QUAEST MATH
[5]
On the sum of parts with multiplicity at least 2 in all the partitions of n
[J].
Merca, Mircea
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania
Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania
Merca, Mircea
;
Yee, Ae Ja
论文数:
0
引用数:
0
h-index:
0
机构:
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania
Yee, Ae Ja
.
INTERNATIONAL JOURNAL OF NUMBER THEORY,
2021,
17
(03)
:665
-681
←
1
→
共 5 条
[1]
Andrews G. E., 1998, CAMBRIDGE MATH LIB
[2]
Truncated theta series and a problem of Guo and Zeng
[J].
Andrews, George E.
论文数:
0
引用数:
0
h-index:
0
机构:
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Andrews, George E.
;
Merca, Mircea
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Romanian Scientists, Splaiul Independentei 54, Bucharest 050094, Romania
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Merca, Mircea
.
JOURNAL OF COMBINATORIAL THEORY SERIES A,
2018,
154
:610
-619
[3]
The truncated pentagonal number theorem
[J].
Andrews, George E.
论文数:
0
引用数:
0
h-index:
0
机构:
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Andrews, George E.
;
Merca, Mircea
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Craiova, Doctoral Sch Appl Math, Craiova 200585, Romania
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Merca, Mircea
.
JOURNAL OF COMBINATORIAL THEORY SERIES A,
2012,
119
(08)
:1639
-1643
[4]
Merca M., 2020, QUAEST MATH
[5]
On the sum of parts with multiplicity at least 2 in all the partitions of n
[J].
Merca, Mircea
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania
Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania
Merca, Mircea
;
Yee, Ae Ja
论文数:
0
引用数:
0
h-index:
0
机构:
Penn State Univ, Dept Math, University Pk, PA 16802 USA
Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania
Yee, Ae Ja
.
INTERNATIONAL JOURNAL OF NUMBER THEORY,
2021,
17
(03)
:665
-681
←
1
→