An Extension of Lucas's Theorem
| dc.contributor.author | Cinkir, Zubeyir | |
| dc.contributor.author | Ozturkalan, Aysegul | |
| dc.date.accessioned | 2025-11-20T16:16:18Z | |
| dc.date.available | 2025-11-20T16:16:18Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We give elementary proofs of some congruence criteria to compute binomial coefficients modulo a prime number. These criteria are analogues to the symmetry property of binomial coefficients. We give extended version of Lucas's 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. | en_US |
| dc.identifier.doi | 10.1007/s13226-025-00881-8 | |
| dc.identifier.issn | 0019-5588 | |
| dc.identifier.issn | 0975-7465 | |
| dc.identifier.scopus | 2-s2.0-105020290867 | |
| dc.identifier.uri | https://doi.org/10.1007/s13226-025-00881-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/5686 | |
| dc.language.iso | en | en_US |
| dc.publisher | indian Nat Sci Acad | en_US |
| dc.relation.ispartof | Indian Journal of Pure & Applied Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Binomial Coefficients | en_US |
| dc.subject | Pascal's Triangle | en_US |
| dc.subject | Lucas's Theorem | en_US |
| dc.subject | Summation Identities | en_US |
| dc.subject | Cogruences of Binomial Coefficients | en_US |
| dc.title | An Extension of Lucas's Theorem | |
| dc.type | Article | en_US |
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| gdc.description.department | Abdullah Gul University | en_US |
| gdc.description.departmenttemp | [Cinkir, Zubeyir] Abdullah Gul Univ, Dept Ind Engn, TR-38100 Kayseri, Turkiye; [Ozturkalan, Aysegul] Abdullah Gul Univ, Dept Engn Sci, TR-38100 Kayseri, Turkiye | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Mathematics - Number Theory | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Mathematics - Combinatorics | |
| gdc.oaire.keywords | Number Theory (math.NT) | |
| gdc.oaire.keywords | Combinatorics (math.CO) | |
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| gdc.virtual.author | Çınkır, Zübeyir | |
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