Yayın: A q-analogue of granville’s congruence
| dc.contributor.author | Elkhiri, L. | |
| dc.contributor.author | Ömür, N. | |
| dc.contributor.author | Koparal, S. | |
| dc.contributor.buuauthor | KOPARAL, SİBEL | |
| dc.contributor.department | Fen Edebiyat Fakültesi | |
| dc.contributor.department | Matematik Bölümü | |
| dc.contributor.scopusid | 56437541100 | |
| dc.date.accessioned | 2025-08-06T22:43:50Z | |
| dc.date.issued | 2022-01-01 | |
| dc.description.abstract | In this paper, we establish a q-analogue of Granville’s congruence as follows: ∑p−1 k=1 xk ≡1− xp − (x; q)p p (p − 1) (1 − q) + x [k]q [p]q 2 (mod [p]q ), for any real number x and odd prime p. Here [n]q = 1 + q + q2 + … + qn−1 and (x; q)n = (1 − x) (1 − xq) …(1 − xqn−1) . | |
| dc.identifier.issn | 1553-1732 | |
| dc.identifier.scopus | 2-s2.0-85136283371 | |
| dc.identifier.uri | https://hdl.handle.net/11452/53400 | |
| dc.identifier.volume | 22 | |
| dc.indexed.scopus | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Colgate University | |
| dc.relation.journal | Integers | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.title | A q-analogue of granville’s congruence | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| local.contributor.department | Fen Edebiyat Fakültesi/Matematik Bölümü | |
| local.indexed.at | Scopus | |
| relation.isAuthorOfPublication | 8cb7f10d-dcea-4fcd-90bb-650fdf67a97c | |
| relation.isAuthorOfPublication.latestForDiscovery | 8cb7f10d-dcea-4fcd-90bb-650fdf67a97c |