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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study a new connection between multidimensional continued fractions, suchas Jacobi--Perron algorithm, and additively indecomposable integers in totallyreal cubic number fields. First, we find the indecomposables of all signaturesin Ennola's family of cubic fields, and use them to determine the Pythagorasnumbers. Second, we compute a number of periodic JPA expansions, also inShanks' family of simplest cubic fields. Finally, we compare these expansionswith indecomposables to formulate our conclusions.

Arithmetic of cubic number fields: Jacobi-Perron, Pythagoras, and indecomposables