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Congruences on sums of q-binomial coefficients

  • Published:2020-05 Issue: Volume:116 Page:102003
  • ISSN:0196-8858
  • Container-title:Advances in Applied Mathematics
  • language:en
  • Short-container-title:Advances in Applied Mathematics

Author:

Liu Ji-Cai,Petrov FedorORCID

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference16 articles.

1. The Theory of Partitions;Andrews,1998

2. q-Analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher;Andrews;Discrete Math.,1999

3. Using the “freshman's dream” to prove combinatorial congruences;Apagodu;Am. Math. Mon.,2017

4. q-Analogues of two supercongruences of Z.-W. Sun;Gu;Czechoslov. Math. J.,2020

5. Proof of a q-congruence conjectured by Tauraso;Guo;Int. J. Number Theory,2019

Cited by 77 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. q-Supercongruences from Jackson's ϕ78 summation and Watson's ϕ78 transformation;Journal of Combinatorial Theory, Series A;2024-05

2. Some q-supercongruences from squares of basic hypergeometric series;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-12-08

3. SOME NEW q-SUPERCONGRUENCES INVOLVING ONE FREE PARAMETER;Rocky Mountain Journal of Mathematics;2023-08-01

4. Proof of some supercongruences through a q-microscope;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-07-17

5. A new q-supercongruence modulo the fourth power of a cyclotomic polynomial;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-04-11
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