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

MacMahon proved a simple product formula for the generating function of planepartitions fitting in a given box. The theorem implies a $q$-enumeration oflozenge tilings of a semi-regular hexagon on the triangular lattice. In thispaper we generalize MacMahon's classical theorem by $q$-enumerating lozengetilings of a new family of hexagons with four adjacent triangles removed fromtheir boundary.

A $q$-enumeration of lozenge tilings of a hexagon with four adjacent triangles removed from the boundary