WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/394

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Institution Author: search.filters.institutionAuthor.Cinkir, ZubeyirPublisher: search.filters.publisher.Ramanujan Mathematical Society

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  • Article
    An Elementary Proof of Lucas's Theorem
    (Ramanujan Mathematical Society, 2025) Cinkir, Zubeyir
    Lucas's Theorem is about finding the result of a binomial coefficient modulo a prime p efficiently. The result is expressed as a product of binomial coefficients involving the base p expansions of the parameters of the original binomial coefficient. We give an elementary proof of Lucas's Theorem by deriving an analogous Vander-monde identity modulo a prime number.