On congruences involving harmonic numbers H3n and H3n+r

Elkhiri, Laid; Ömür, Neşe

Yayın:
On congruences involving harmonic numbers H3n and H3n+r

dc.contributor.author	Elkhiri, Laid
dc.contributor.author	Ömür, Neşe
dc.contributor.buuauthor	KOPARAL, SİBEL
dc.contributor.department	Fen Edebiyat Fakültesi
dc.contributor.department	Matematik Ana Bilim Dalı
dc.contributor.researcherid	FFN-3081-2022
dc.date.accessioned	2025-10-21T09:27:25Z
dc.date.issued	2025-08-20
dc.description.abstract	In this paper, we establish various congruences involving harmonic numbers H3n and H3n+r modulo prime number p, ie., ∑0≤k≤[p/3]H3k2(modp) and ∑0≤k≤[p/3]H3k+r3k+r(modp). Also, we give the generalization of Meštrović’s congruence, ie., for any prime number p≥5, (Formula presented.) where r∈{1,2,3}.
dc.identifier.doi	10.1007/s13226-025-00848-9
dc.identifier.issn	0019-5588
dc.identifier.scopus	2-s2.0-105013626363
dc.identifier.uri	https://doi.org/10.1007/s13226-025-00848-9
dc.identifier.uri	https://hdl.handle.net/11452/56033
dc.identifier.wos	001553756700001
dc.indexed.wos	WOS.SCI
dc.language.iso	en
dc.publisher	Indian National Science Academy
dc.relation.journal	Indian Journal of Pure & Applied Mathematics
dc.subject	Bernoulli numbers
dc.subject	Arithmetic theory
dc.subject	Fermat
dc.subject	Congruences
dc.subject	Harmonic numbers
dc.subject	Abel sum
dc.subject	Science & Technology
dc.subject	Physical Sciences
dc.subject	Mathematics
dc.title	On congruences involving harmonic numbers H3n and H3n+r
dc.type	Article
dspace.entity.type	Publication
local.contributor.department	Fen Edebiyat Fakültesi/Matematik Ana Bilim Dalı
local.indexed.at	WOS
local.indexed.at	Scopus
relation.isAuthorOfPublication	8cb7f10d-dcea-4fcd-90bb-650fdf67a97c
relation.isAuthorOfPublication.latestForDiscovery	8cb7f10d-dcea-4fcd-90bb-650fdf67a97c