Congruences for Taylor Expansions of Quantum Modular Forms

  title={Congruences for Taylor Expansions of Quantum Modular Forms},
  author={P. Guerzhoy and Zachary A. Kent and Larry Rolen},
Abstract. Recently, a beautiful paper of Andrews and Sellers has established linear congruences for the Fishburn numbers modulo an infinite set of primes. Since then, a number of authors have proven refined results, for example, extending all of these congruences to arbitrary powers of the primes involved. Here, we take a different perspective and explain the general theory of such congruences in the context of an important class of quantum modular forms. As one example, we obtain an infinite… CONTINUE READING

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