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

The present paper proves that if for a power sum $\alpha$ over $\ZZ$ thelength of the period of the continued fraction for $\sqrt{\alpha(n)}$ isconstant for infinitely many even (resp. odd) $n$, then $\sqrt{\alpha(n)}$admits a functional continued fraction expansion for all even (resp. odd) $n$,except finitely many; in particular, for such $n$, the partial quotients can beexpressed by power sums of the same kind.

On the period of the continued fraction for values of the square root of power sums