More Supercongruences for Generalized Apery Numbers

摘要

In [KC], we deduced certain supercongruence relations for the generalized Apéry numbers , where m, n, l, k are positive integers. Extending the work of [KC], we here find some more supercongruences satisfied by these numbers in the similar way as Apéry numbers do. We further investigate certain periodic properties of these generalized Apéry numbers in modulo primes.