A de Bruijn-type formula for enumerating patterns of partitions.
A determinant of the Chudnovskys generalizing the elliptic Frobenius-Stickelberger-Cauchy determinantal identity.
A direct bijective proof of the hook-length formula.
A Generalization of the Matrix-Tree Theorem.
A generalized major index statistic.
A generating functions proof of a curious identity.
A large dihedral symmetry of the set of alternating sign matrices.
A new class of infinite products, and Euler's totient.
A new class of -Fibonacci polynomials.
A new combinatorial identity.
A new proof of some identities of Bressoud.
A new triple sum combinatorial identity.
A normalization formula for the Jack polynomials in superspace and an identity on partitions.
A note on major sequences and external activity in trees.
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations.
A note on some polynomial identities
A note on the determinant of a Toeplitz-Hessenberg matrix
The nth-order determinant of a Toeplitz-Hessenberg matrix is expressed as a sum over the integer partitions of n. Many combinatorial identities involving integer partitions and multinomial coefficients can be generated using this formula.
A -analogue of a formula of Frobenius.
A proof of a conjecture of Knuth.
A proof of the identities of Gordon and MacMahon and two new identities. (La démonstration des identités de Gordon et MacMahon et de deux identités nouvelles.)