Title: Combinatorial Reciprocity Theorems
Subjects: Geometry, Combinatorial analysis, Combinatorial geometry, Combinatorics, Enumerative combinatorics, Graph theory, Graph polynomials, Algebraic combinatorics, Combinatorial aspects of simplicial complexes, Number theory, Additive number theory; partitions, Lattice points in specified regions, Convex and discrete geometry, Polytopes and polyhedra, Combinatorial properties (number of faces, shortest paths, etc.), $n$-dimensional polytopes, Lattice polytopes (including relations with commutative algebra and algebraic geometry), Dissections and valuations (Hilbert's third problem, etc.), Discrete geometry, Lattices and convex bodies in $n$ dimensions, Computer science, Discrete mathematics in relation to computer science