A new proof of Lucas' Theorem
Alexandre Laugier, Manjil P. Saikia
TL;DR
This paper presents a novel elementary proof of Lucas' Theorem, which is a fundamental result in number theory related to binomial coefficients modulo primes.
Contribution
The paper introduces a new elementary proof of Lucas' Theorem, simplifying understanding and potentially broadening its accessibility.
Findings
Provides a simpler proof of Lucas' Theorem
Enhances understanding of binomial coefficients modulo primes
Potentially useful for educational purposes
Abstract
We give a new proof of Lucas' Theorem in elementary number theory.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Mathematics and Applications · History and Theory of Mathematics