An Elementary Proof of Lucas's Theorem
| dc.contributor.author | Cinkir, Zubeyir | |
| dc.date.accessioned | 2026-01-20T15:32:37Z | |
| dc.date.available | 2026-01-20T15:32:37Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | 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. | en_US |
| dc.identifier.issn | 0970-1249 | |
| dc.identifier.issn | 2320-3110 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/5761 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ramanujan Mathematical Society | en_US |
| dc.relation.ispartof | Journal of the Ramanujan Mathematical Society | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | An Elementary Proof of Lucas's Theorem | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Cinkir, Zubeyir | |
| gdc.description.department | Abdullah Gül Üniversitesi | en_US |
| gdc.description.departmenttemp | [Cinkir, Zubeyir] Abdullah Gul Univ, Dept Ind Engn, TR-38100 Kayseri, Turkiye | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.volume | 40 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q4 | |
| gdc.identifier.wos | WOS:001618986100004 | |
| gdc.index.type | WoS | |
| gdc.virtual.author | Çınkır, Zübeyir | |
| gdc.wos.citedcount | 0 | |
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