Factors of certain sums involving central q-binomial coefficients View Full Text


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Article Info

DATE

2021-12-01

AUTHORS

Victor J. W. Guo, Su-Dan Wang

ABSTRACT

Recently, Ni and Pan proved a q-congruence on certain sums involving central q-binomial coefficients, which was conjectured by Guo. In this paper, we give a generalization of this q-congruence and confirm another q-congruence, also conjectured by Guo. Our proof uses Ni and Pan’s technique and a simple q-congruence observed by Guo and Schlosser. More... »

PAGES

46

References to SciGraph publications

  • 2020-11-30. Some q-Supercongruences from Transformation Formulas for Basic Hypergeometric Series in CONSTRUCTIVE APPROXIMATION
  • 2011-09-16. Super congruences and Euler numbers in SCIENCE CHINA MATHEMATICS
  • 2020-10-21. Some new q-congruences on double sums in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
  • 2019-08-20. q-Analogues of two “divergent” Ramanujan-type supercongruences in THE RAMANUJAN JOURNAL
  • 2019-06-01. Proof of Sun’s conjectures on super congruences and the divisibility of certain binomial sums in THE RAMANUJAN JOURNAL
  • 2019-03-20. A method for proving Ramanujan’s series for 1/π in THE RAMANUJAN JOURNAL
  • 2019-11-11. Congruences for q-Binomial Coefficients in ANNALS OF COMBINATORICS
  • 2020-08-19. Proof of a q-supercongruence conjectured by Guo and Schlosser in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
  • 2020-05-02. A q-analogue of the (A.2) supercongruence of Van Hamme for primes p≡1(mod4) in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
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    http://scigraph.springernature.com/pub.10.1007/s13398-021-01192-3

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    http://dx.doi.org/10.1007/s13398-021-01192-3

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