111 citations · 118 across the 18 of their papers we have counts for
3 papers · 1 filter
A note on higher-dimensional magic matrices
Peter J. Cameron, Christian Krattenthaler, Thomas W. Müller
We provide exact and asymptotic formulae for the number of unrestricted, respectively indecomposable, -dimensional matrices where the sum of all matrix entries with one coordina…
Superconformal indices of three-dimensional theories related by mirror symmetry
C. Krattenthaler, V. P. Spiridonov, G. S. Vartanov
Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equal…
Chromatic statistics for Catalan and Fuß-Catalan numbers
Roland Bacher, Christian Krattenthaler
We refine Catalan numbers and Fuß-Catalan numbers by introducing colour statistics for triangulations of polygons and -dimensional generalisations there-of which we call Fuß-Cat…