---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '20078'
abstract:
- lang: eng
  text: 'Let A be an abelian variety defined over a number field K, E/K be an elliptic
    curve, and ϕ : A → Em be an isogeny defined over K. Let P ∈ A(K) be such that
    ϕ(P)=(Q1,..., Qm) with RankZ(⟨Q1,...,Qm⟩)=1. We will study a divisibility sequence
    related to the point P and show its relation with elliptic divisibility sequences.'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Stefan
  full_name: Barańczuk, Stefan
  last_name: Barańczuk
- first_name: Bartosz
  full_name: Naskręcki, Bartosz
  last_name: Naskręcki
- first_name: Matteo
  full_name: Verzobio, Matteo
  id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
  last_name: Verzobio
  orcid: 0000-0002-0854-0306
citation:
  ama: Barańczuk S, Naskręcki B, Verzobio M. Divisibility sequences related to abelian
    varieties isogenous to a power of an elliptic curve. <i>Journal of Number Theory</i>.
    2026;279:170-183. doi:<a href="https://doi.org/10.1016/j.jnt.2025.06.001">10.1016/j.jnt.2025.06.001</a>
  apa: Barańczuk, S., Naskręcki, B., &#38; Verzobio, M. (2026). Divisibility sequences
    related to abelian varieties isogenous to a power of an elliptic curve. <i>Journal
    of Number Theory</i>. Elsevier. <a href="https://doi.org/10.1016/j.jnt.2025.06.001">https://doi.org/10.1016/j.jnt.2025.06.001</a>
  chicago: Barańczuk, Stefan, Bartosz Naskręcki, and Matteo Verzobio. “Divisibility
    Sequences Related to Abelian Varieties Isogenous to a Power of an Elliptic Curve.”
    <i>Journal of Number Theory</i>. Elsevier, 2026. <a href="https://doi.org/10.1016/j.jnt.2025.06.001">https://doi.org/10.1016/j.jnt.2025.06.001</a>.
  ieee: S. Barańczuk, B. Naskręcki, and M. Verzobio, “Divisibility sequences related
    to abelian varieties isogenous to a power of an elliptic curve,” <i>Journal of
    Number Theory</i>, vol. 279. Elsevier, pp. 170–183, 2026.
  ista: Barańczuk S, Naskręcki B, Verzobio M. 2026. Divisibility sequences related
    to abelian varieties isogenous to a power of an elliptic curve. Journal of Number
    Theory. 279, 170–183.
  mla: Barańczuk, Stefan, et al. “Divisibility Sequences Related to Abelian Varieties
    Isogenous to a Power of an Elliptic Curve.” <i>Journal of Number Theory</i>, vol.
    279, Elsevier, 2026, pp. 170–83, doi:<a href="https://doi.org/10.1016/j.jnt.2025.06.001">10.1016/j.jnt.2025.06.001</a>.
  short: S. Barańczuk, B. Naskręcki, M. Verzobio, Journal of Number Theory 279 (2026)
    170–183.
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: No data was used for the research described in the article.
date_created: 2025-07-27T22:01:25Z
date_published: 2026-02-01T00:00:00Z
date_updated: 2026-07-23T11:33:57Z
day: '01'
ddc:
- '500'
department:
- _id: TiBr
doi: 10.1016/j.jnt.2025.06.001
external_id:
  arxiv:
  - '2309.09699'
  isi:
  - '001541172400002'
file:
- access_level: open_access
  checksum: 34e6e965a2b30a258e0d4103350a68fd
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-23T11:32:51Z
  date_updated: 2026-07-23T11:32:51Z
  file_id: '22396'
  file_name: 2026_JourNumberTheory_Baranczuk.pdf
  file_size: 754810
  relation: main_file
  success: 1
file_date_updated: 2026-07-23T11:32:51Z
fulldoi: https://doi.org/10.1016/j.jnt.2025.06.001
has_accepted_license: '1'
intvolume: '       279'
isi: 1
keyword:
- Divisibility sequences
- Abelian varieties
- Elliptic divisibility sequences
- Isogenies
- Primitive divisors
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '02'
oa: 1
oa_version: Published Version
page: 170-183
publication: Journal of Number Theory
publication_identifier:
  issn:
  - 0022-314X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Divisibility sequences related to abelian varieties isogenous to a power of
  an elliptic curve
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 279
year: '2026'
...