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SUPERCONGRUENCES FOR TRUNCATED APPELL SERIES
被引:3
作者
:
Liu, Ji-Cai
论文数:
0
引用数:
0
h-index:
0
机构:
Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
Liu, Ji-Cai
[
1
]
机构
:
[1]
Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
来源
:
COLLOQUIUM MATHEMATICUM
|
2019年
/ 158卷
/ 02期
基金
:
中国国家自然科学基金;
关键词
:
supercongruences;
truncated Appell series;
p-adic Gamma functions;
CONJECTURE;
NUMBERS;
D O I
:
10.4064/cm7462-11-2018
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
By using some combinatorial identities and supercongruences due to Van Hamme and Tauraso, we establish two supercongruences on the truncated Appell series F-1 and F-2, one of which is related to a supercongruence of Van Hamme.
引用
收藏
页码:255 / 263
页数:9
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共 15 条
[1]
Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharplening of Wilf-Zeilberger theory
Apagodu, Moa
论文数:
0
引用数:
0
h-index:
0
机构:
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Apagodu, Moa
Zeilberger, Doron
论文数:
0
引用数:
0
h-index:
0
机构:
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Zeilberger, Doron
[J].
ADVANCES IN APPLIED MATHEMATICS,
2006,
37
(02)
: 139
-
152
[2]
Apery-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators
论文数:
引用数:
h-index:
机构:
Kimoto, Kazufumi
论文数:
引用数:
h-index:
机构:
Wakayama, Masato
[J].
KYUSHU JOURNAL OF MATHEMATICS,
2006,
60
(02)
: 383
-
404
[3]
On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
Lehmer, E
论文数:
0
引用数:
0
h-index:
0
Lehmer, E
[J].
ANNALS OF MATHEMATICS,
1938,
39
: 350
-
360
[4]
ON A CONJECTURE OF KIMOTO AND WAKAYAMA
Long, Ling
论文数:
0
引用数:
0
h-index:
0
机构:
Louisiana State Univ, Dept Math, 303 Lockett Hall, Baton Rouge, LA 70803 USA
Louisiana State Univ, Dept Math, 303 Lockett Hall, Baton Rouge, LA 70803 USA
Long, Ling
Osburn, Robert
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland
Louisiana State Univ, Dept Math, 303 Lockett Hall, Baton Rouge, LA 70803 USA
Osburn, Robert
Swisher, Holly
论文数:
0
引用数:
0
h-index:
0
机构:
Oregon State Univ, Dept Math, 368 Kidder Hall, Corvallis, OR 97331 USA
Louisiana State Univ, Dept Math, 303 Lockett Hall, Baton Rouge, LA 70803 USA
Swisher, Holly
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2016,
144
(10)
: 4319
-
4327
[5]
Some supercongruences occurring in truncated hypergeometric series
Long, Ling
论文数:
0
引用数:
0
h-index:
0
机构:
Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Long, Ling
Ramakrishna, Ravi
论文数:
0
引用数:
0
h-index:
0
机构:
Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA
Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Ramakrishna, Ravi
[J].
ADVANCES IN MATHEMATICS,
2016,
290
: 773
-
808
[6]
HYPERGEOMETRIC EVALUATION IDENTITIES AND SUPERCONGRUENCES
Long, Ling
论文数:
0
引用数:
0
h-index:
0
机构:
Iowa State Univ, Dept Math, Ames, IA 50011 USA
Iowa State Univ, Dept Math, Ames, IA 50011 USA
Long, Ling
[J].
PACIFIC JOURNAL OF MATHEMATICS,
2011,
249
(02)
: 405
-
418
[7]
A p-adic analogue of a formula of Ramanujan
McCarthy, Dermot
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
McCarthy, Dermot
Osburn, Robert
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
Osburn, Robert
[J].
ARCHIV DER MATHEMATIK,
2008,
91
(06)
: 492
-
504
[8]
A p-adic supercongruence conjecture of van Hamme
Mortenson, Eric
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
Mortenson, Eric
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2008,
136
(12)
: 4321
-
4328
[9]
On the (K.2) supercongruence of Van Hamme
Osburn, Robert
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
Max Planck Inst Math, D-53111 Bonn, Germany
Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
Osburn, Robert
Zudilin, Wadim
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia
Max Planck Inst Math, D-53111 Bonn, Germany
Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
Zudilin, Wadim
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2016,
433
(01)
: 706
-
711
[10]
Petkovsek M., 1996, A = B
←
1
2
→