Generalized Lucas’ Theorem

Mourad Abchiche1, Hacéne Belbachir1
1USTHB/ *LTN Lab., “RECITS Lab., DG-RSDT, BP 32, El Alia, 16111 Bab Ezzouar, Algiers, Algeria.

Abstract

We generalize the well known congruence Lucas\(^1\) Theorem for binomial coefficient to the bi\(^s\)nomial coefficients.