Some congruences involving numbers Bp,k-d

Abstract

In this paper, we define numbers B_n,k-d given by (Equation presented) where n, d, k ∈ N with n ≥ k-d. We obtain various basic congruences involving these numbers. Some of our theorems are as follows: for 1 ≤ d ≤ p - 1 (Equation presented) where a prime number p.