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    • 刘艳,毛国帅.涉及Domb数Dn的两个超同余式的研究[J].数学年刊A辑,2024,45(3):275~286
    涉及Domb数Dn的两个超同余式的研究
    Proof of Two Supercongruences Involving Domb Numbers Dn
      
    DOI：10.16205/j.cnki.cama.2024.0019
    中文关键词:  Domb数  调和数  同余式  
    英文关键词:In this paper,the authors mainly prove the following congruence involving Domb numbers in another way which is differ from the way of Mu and Sun:Let p>3 be a prime.Then p-1∑k=03k2+k/16k Dk≡-4p4qp(2)(mod p5),and the authors give a new congruence:p-1∑k=03k2+5k+2/4kDk≡2p3+12p4qp(2)(mod p5)where p(a)denotes the Fermat quotien aP-1-1/p.
    基金项目:国家自然科学基金(No.12001288)
    Author NameAffiliation
    LIU Yan Kunshan Bailu Senior High School,Kunshan 215399,Jiangsu,China 
    MAO Guoshuai Department of Mathematics,Nanjing University of Information Science and Technology,Nanjing 210044,China 
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    中文摘要:
          作者用一种新的方法证明了穆彦平和孙智伟证明的涉及Domb数的超同余式:设p> 3为素数,则■,并且给出了一个新的超同余式:■,其中qp（a）代表的是费马商(ap-1-1)/p
    英文摘要:
          Domb numbers;Harmonic numbers;Congruence
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