An extension of Lucas Theorem - ArXiv:2309.00109

Описание к видео An extension of Lucas Theorem - ArXiv:2309.00109

Original paper: https://arxiv.org/abs/2309.00109

Title: An extension of Lucas Theorem

Authors: Zubeyir Cinkir, Aysegul Ozturkalan

Abstract:
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a prime. These criteria are analogues to the symmetry property of binomial coefficients. We give extended version of Lucas Theorem by using those criteria. We give applications of these criteria by describing a method to derive identities and congruences involving sums of binomial coefficients.

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