Proof of the alternating sign matrix conjecture.
Proof of the Macdonald Conjecture.
Proof of the refined alternating sign matrix conjecture.
-analogues of the sums of consecutive integers, squares, cubes, quarts and quints.
-counting descent pairs with prescribed tops and bottoms.
-Eulerian polynomials and polynomials with only real zeros.
-exponential families.
-Genocchi numbers and polynomials associated with -Genocchi-type -functions.
Ramified Sets Of Pseudotrees
Ramified sets or pseudotrees.
Random matrices, magic squares and matching polynomials.
Random orders and gambler's ruin.
Rare events and conditional events on random strings.
Rationality, irrationality, and Wilf equivalence in generalized factor order.
Rearrangements of the Symmetric Group and Enumerative Properties of the Tangent and Secant Numbers.
Recurrence relations and two-dimensional set partitions.
Recursive generation of -ary trees.
Refined counting of fully packed loop configurations.
Reformed permutations in mousetrap and its generalizations.
Remarks on missing faces and generalized lower bounds on face numbers.