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 positive integers a 1 , a 2 , …, a s  are k-wise relatively prime if any k of them are relatively prime. For a (k-1)-tuple of positive integers u = (u 1 , …, u k-1 ), let [Formula: see text] denote the number of s-tuples of positive integers (a 1 , a 2 , …, a s ) with 1 ≤ a 1 , a 2 , …, a s  ≤ n such that a 1 , a 2 , …, a s  are k-wise relatively prime and are i-wise relatively prime to u i  for i = 1, 2, …, k-1 when s ≥ k ≥ 2, and a 1 , a 2 , …, a s  are i-wise relatively prime to u i  for i = 1, 2, …, s when k &gt; s ≥ 1. Asymptotic estimates are obtained for these functions. As a corollary, exact formula is also obtained for the probability that s positive integers are k-wise relatively prime.

THE PROBABILITY THAT RANDOM POSITIVE INTEGERS ARE k-WISE RELATIVELY PRIME