Abstract
Abstract
We discuss q-analogues of the classical congruence $$\left( {\begin{array}{c}ap\\ bp\end{array}}\right) \equiv \left( {\begin{array}{c}a\\ b\end{array}}\right) \pmod {p^3}$$apbp≡ab(modp3), for primes $$p>3$$p>3, as well as its generalisations. In particular, we prove related congruences for (q-analogues of) integral factorial ratios.
Publisher
Springer Science and Business Media LLC
Subject
Discrete Mathematics and Combinatorics
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