AbstractIn the talk, l shall present our joint paper with A.Gerasimov and D.Lebedev. in this paper, wedevelop a representation theory approach to the study of generalized hypergeometric functions ofGelfand, Kapranov and Zelevisnky (GKZ). We show that the GKZ hypergeometric functions may beidentified with matrix elements of non-reductive Lie algebras L(N) of oscillator type. The Whittakerfunctio...
AbstractIn 1955, Greenwood and Gleason proved that the two-color diagonal Ramsey number R(4,4) equals 18. Key to their proof was constructing a self-complementary graph of order 17 which does not contain a complete subgraph of order four. This graph is one in the family of graphs now known as Paley graphs. In the 1980s, Evans, Pulham and Sheehan provided a simple closed formula for the number o...