JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (5): 93-99.doi: 10.6040/j.issn.1671-9352.0.2023.287

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Some super congruences involving Catalan numbers

YANG Jizhen1,2, WANG Yunpeng3*   

  1. 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;
    2. Department of Mathematics, Luoyang Normal College, Luoyang 471934, Henan, China;
    3. Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang 471023, Henan, China
  • Published:2025-05-19

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Abstract: Using the generalized harmonic number and the method of series transformation, some super congruences involving central binomial coefficient, Catalan number and Bernoulli number are established, and some known results are generalized.

Key words: central binomial coefficient, Catalan number, Bernoulli number, congruences

CLC Number: 

  • O157.1
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