An extension of Lucas Theorem
Number Theory
2023-09-04 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2309.00109,
title = {An extension of Lucas Theorem},
author = {Zubeyir Cinkir and Aysegul Ozturkalan},
journal= {arXiv preprint arXiv:2309.00109},
year = {2023}
}
Comments
12 pages, 4 figures