Algebra & Combinatorics Research Group  |  Texas A&M University





A&C Seminar

Working Seminar
   in Algebra

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A&C Seminar:  Fall 2008, Fridays, Milner 317, 3:00–3:50 p.m.

November 14 Dimitrije Kostic
3:00–3:50 The Combinatorics of Integer Points in a Certain Polytope
Abstract:   Let (x1,...,xn) have nonnegative integer coordinates (and x1>0). Stanley and Pitman studied the set of integer points (y1,...,yn) satisfying y1+...+ykx1+...+xk and found a precise formula for this number in terms of the Ehrhart polynomial. We will explore further questions related to this set of points, particularly the q-distributions of partial sums of the yi and a surprising formula I stumbled across accidentally.