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

Recall that repdigit in base $g$ is a positive integer that has only onedigit in its base $g$ expansion, i.e. a number of the form $a(g^m-1)/(g-1)$,for some positive integers $m\geq 1$, $g\geq 2$ and $1\leq a\leq g-1$. In thepresent study we investigate all Fibonacci or Lucas numbers which are expressedas products of three repdigits in base $g$. As illustration, we consider thecase $g=10$ where we show that the numbers 144 and 18 are the largest Fibonacciand Lucas numbers which can be expressible as products of three repdigitsrespectively. All this can be done using linear forms in logarithms ofalgebraic numbers.

Fibonacci and Lucas numbers as products of three repdigits in base $g$