Some $q$-congruences with parameters

16 Dec 2018 Guo Victor J. W.

Let $\Phi_n(q)$ be the $n$-th cyclotomic polynomial in $q$. Recently, the author and Zudilin provide a creative microscoping method to prove some $q$-supercongruences mainly modulo $\Phi_n(q)^3$ by introducing an additional parameter $a$... (read more)

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  • NUMBER THEORY
  • COMBINATORICS