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

According to Skolem's conjecture, if an exponential Diophantine equation isnot solvable, then it is not solvable modulo an appropriately chosen modulus.Besides several concrete equations, the conjecture has only been proved forrather special cases. In this paper we prove the conjecture for equations ofthe form $x^n-by_1^{k_1}\dots y_\ell^{k_\ell}=\pm 1$, where$b,x,y_1,\dots,y_\ell$ are fixed integers and $n,k_1,\dots,k_\ell$ arenon-negative integral unknowns. This result extends a recent theorem of Hajduand Tijdeman.

Skolem's conjecture confirmed for a family of exponential equations, II