English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study an integer sequence associated with Cantor's division polynomials ofa genus $2$ curve having an integral point. We show that the modulo $p$ of sucha sequence is periodic for all but finitely many primes $p$, and describe therelation between the period of the modulo $p$ of the sequence and the order ofthe integral point on the reduction modulo $p$ in the Jacobian varietyexplicitly. This generalizes Ward's results on elliptic divisibility sequencesassociated with division polynomials of elliptic curves.

Periods modulo $p$ of integer sequences associated with division polynomials of genus $2$ curves