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  • Publication
    Supercongruences for sporadic sequences
    (Cambridge University Press, 2016-05) ; ;
    We prove two-term supercongruences for generalizations of recently discovered sporadic sequences of Cooper. We also discuss recent progress and future directions concerning other types of supercongruences.
    Scopus© Citations 24  421
  • Publication
    Supercongruences for Apéry-like numbers
    (Elsevier, 2011-09) ;
    It is known that the numbers which occur in Apery's proof of the irrationality of zeta (2) have many interesting congruence properties while the associated generating function satisfies a second order differential equation. We prove supercongruences for a generalization of numbers which arise in Beukers' and Zagier's study of integral solutions of Apery-like differential equations.
      322Scopus© Citations 14