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/

Zendy Plus

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

Zendy Tools

Zendy Open

If λ is a partition of  n , then the rank rk(λ) is the size of the largest part minus the number of parts. Under the uniform distribution on partitions, in K. Bringmann, K. Mahlburg, and R. C. Rhoades ( Bull. Lond. Math. Soc. , 43 (2011) 661–672), it is shown that    rk   (  λ  )   /    6  nhas a limiting distribution. We identify the limit as the difference between two independent extreme value distributions and as the distribution of  β ( T ), where  β ( t ) is standard Brownian motion and  T  is the first time that an independendent 3‐dimensional Brownian motion hits the unit sphere. The same limit holds for the crank.

Note on a partition limit theorem for rank and crank