Optimal Penney Ante strategy via correlation polynomial identities.
Parity indices of partitions
Parity theorems for statistics on permutations and Catalan words.
Partially Ordered Sets and the Rogers-Ramanujan Identities.
Path counting and random matrix theory.
Permutation statistics and -Fibonacci numbers.
Permutation tableaux and the dashed permutation pattern 32-1.
Pfaff's method. III: Comparison with the WZ method.
Plane partitions IV: A conjecture of Mills-Robbins-Rumsey.
Playing with some identities of Andrews.
Polynomial identities which imply identities of Euler and Jacobi
Polynomials of multipartitional type and inverse relations
Chou, Hsu and Shiue gave some applications of Faà di Bruno's formula to characterize inverse relations. Our aim is to develop some inverse relations connected to the multipartitional type polynomials involving to binomial type sequences.
Potenzen der Pascalmatrix und eine Identität der Kombinatorik.
Probabilistic proofs of hook length formulas involving trees.
Proof of a conjecture of Chan, Robbins, and Yuen.
Proof of a determinant evaluation conjectured by Bombieri, Hunt and van Poorten.
Proof of the Razumov-Stroganov conjecture for some infinite families of link patterns.
q-Identities for Maass waveforms.
Quadratic Equations over Finite Fields and Class Numbers of Real Quadratic Fields.
Quasi-particle fermionic formulas for (k, 3)-admissible configurations
We construct new monomial quasi-particle bases of Feigin-Stoyanovsky type subspaces for the affine Lie algebra sl(3;ℂ)∧ from which the known fermionic-type formulas for (k, 3)-admissible configurations follow naturally. In the proof we use vertex operator algebra relations for standard modules and coefficients of intertwining operators.