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Supercongruences for the Almkvist–Zudilin numbers

Volume 173 / 2016

Tewodros Amdeberhan, Roberto Tauraso Acta Arithmetica 173 (2016), 255-268 MSC: Primary 11A07; Secondary 11B65. DOI: 10.4064/aa8215-2-2016 Published online: 11 May 2016


We prove a conjecture on supercongruences for sequences that have come to be known as the Almkvist–Zudilin numbers. Some other (naturally) related family of sequences will be considered in a similar vain.


  • Tewodros AmdeberhanDepartment of Mathematics
    Tulane University
    New Orleans, LA 70118, U.S.A.
  • Roberto TaurasoDipartimento di Matematica
    Università di Roma “Tor Vergata”
    00133 Roma, Italy

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