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Some Congruences on q-Franel Numbers and q-Catalan Numbers

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Abstract

We present certain q-analogues of Franel numbers and Catalan numbers, and establish several congruences on these q-numbers

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Authors and Affiliations

  1. Department of Mathematics, Luoyang Normal University, Luoyang, 471934, People’s Republic of China

    Hongcun Zhai

  2. School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, People’s Republic of China

    Bing He

  3. School of Mathematical Sciences, Huaiyin Normal University, Huai’an, Jiangsu, 223300, People’s Republic of China

    Long Li

  4. Department of Mathematics, East China Normal University, 500 Dongchuan Road, Shanghai, 200241, People’s Republic of China

    Bing He & Long Li

Authors
  1. Hongcun Zhai
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  2. Bing He
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  3. Long Li
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Correspondence to Hongcun Zhai.

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Zhai, H., He, B. & Li, L. Some Congruences on q-Franel Numbers and q-Catalan Numbers. Indian J Pure Appl Math 50, 181–189 (2019). https://doi.org/10.1007/s13226-019-0316-9

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  • DOI: https://doi.org/10.1007/s13226-019-0316-9

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