Some supercongruences arising from symbolic summation

被引：10
|
作者：
Liu, Ji-Cai [1 ]
机构：
[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 488卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Supercongruences; Bernoulli polynomials; p-adic gamma functions; PARTIAL-SUMS;
D O I：
10.1016/j.jmaa.2020.124062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on some combinatorial identities arising from symbolic summation, we extend two supercongruences on partial sums of hypergeometric series, which were originally conjectured by Guo and Schlosser and recently confirmed by Jana and Kalita. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数：10
相关论文
共 50 条
  • [21] q-Supercongruences from Jackson's 87 summation and Watson's 87 transformation
    Wei, Chuanan
    arXiv, 2021,
  • [22] Some numeric hypergeometric supercongruences
    Long, Ling
    VERTEX OPERATOR ALGEBRAS, NUMBER THEORY AND RELATED TOPICS, 2020, 753 : 139 - 156
  • [23] Some supercongruences of arbitrary length
    Beukers, Frits
    Delaygue, Eric
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2022, 33 (05): : 946 - 955
  • [24] Structural theorems for symbolic summation
    Schneider, Carsten
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2010, 21 (01) : 1 - 32
  • [25] Symbolic Summation with Radical Expressions
    Kauers, Manuel
    Schneider, Carsten
    ISSAC 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, 2007, : 219 - 226
  • [26] Structural theorems for symbolic summation
    Carsten Schneider
    Applicable Algebra in Engineering, Communication and Computing, 2010, 21 : 1 - 32
  • [27] Modular algorithms in symbolic summation and symbolic integration - Introduction
    Gerhard, J
    MODULAR ALGORITHMS IN SYMBOLIC SUMMATION AND SYMBOLIC INTEGRATION, 2004, 3218 : 1 - +
  • [28] Some q-Supercongruences from a Quadratic Transformation by Rahman
    Liu, Yudong
    Wang, Xiaoxia
    RESULTS IN MATHEMATICS, 2022, 77 (01)
  • [29] Some q-Supercongruences from a Quadratic Transformation by Rahman
    Yudong Liu
    Xiaoxia Wang
    Results in Mathematics, 2022, 77
  • [30] FIBONACCI SUMMATION IDENTITIES ARISING FROM CATALAN'S IDENTITY
    Tuenter, Hans J. H.
    FIBONACCI QUARTERLY, 2022, 60 (04): : 312 - 319
12345