4 papers
More minor summation formulae
Shane Chern, Theresia Eisenkölbl, Ilse Fischer +8
We prove determinantal-Pfaffian formulae that simultaneously generalise the Pfaffian minor summation formula of Ishikawa and Wakayama and Byun's recent minor summation formula. The…
Positive -divisible non-crossing partitions and their Kreweras maps
Christian Krattenthaler, Christian Stump
We study positive -divisible non-crossing partitions and their positive Kreweras maps. In classical types, we describe their combinatorial realisations as certain non-crossing s…
Refined enumeration of two-rowed set-valued standard tableaux via two-coloured Motzkin paths
Christian Krattenthaler
We derive formulae for the number of set-valued standard tableaux of two-rowed shapes, keeping track of the total number of entries, the number of entries in the first row, and the…
A remarkable basic hypergeometric identity
Christian Krattenthaler, Wadim Zudilin
We give a closed form for of truncated basic hypergeometric series where the base is evaluated at roots of unity.