Some Wolstenholme type congruences
| dc.contributor.author | Meštrović, Romeo | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 2 | cs |
| dc.date.accessioned | 2013-11-26T11:04:50Z | |
| dc.date.available | 2013-11-26T11:04:50Z | |
| dc.date.issued | 2013 | cs |
| dc.description.abstract | In this paper we give an extension and another proof of the following Wolstenholme's type curious congruence established in 2008 by J. Zhao. Let s and l be two positive integers and let p be a prime such that p ls + 3. Then H(fsgl; p1) S(fsgl; p1) 8>>< >>: s(ls + 1)p2 2(ls + 2) Bpls2 (mod p3) if 2 - ls (1)l1 sp ls + 1 Bpls1 (mod p2) if 2 j ls: APs an application, for given prime p 5, we obtain explicit formulae for the sum 1 k1< <kl p1 1=(k1 kl) (mod p3) if k 2 f1; 3; : : : ; p 2g, and for the sum P 1 k1< <kl p1 1=(k1 kl) (mod p2) if k 2 f2; 4; : : : ; p 3g | en |
| dc.format | text | cs |
| dc.format.extent | 35-42 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2013, 2, č. 1, s. 35-42. ISSN 1805-3629. | cs |
| dc.identifier.doi | 10.13164/ma.2013.04 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/23995 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/2_1/mestrovic_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.title | Some Wolstenholme type congruences | cs |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |