A Theorem on Reciprocal Polynomials with Applications to Permutations and Compositions
From MaRDI portal
Publication:4071755
DOI10.2307/2319803zbMath0313.05006OpenAlexW4234408173MaRDI QIDQ4071755
Publication date: 1975
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2319803
Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Real and complex fields (12D99)
Related Items (19)
Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property ⋮ Unimodality via alternating gamma vectors ⋮ Compositions inside a rectangle and unimodality ⋮ Invisible permutations and rook placements on a Ferrers board ⋮ Self-inversive Hilbert space operator polynomials with spectrum on the unit circle ⋮ Unnamed Item ⋮ Coefficients of catalan states without nesting and maximal number of returns ⋮ Rook placements and cellular decomposition of partition varieties ⋮ Rook placements and generalized partition varieties ⋮ Proof of two divisibility properties of binomial coefficients conjectured by Z.-W. Sun ⋮ A lower bound theorem for centrally symmetric simplicial polytopes ⋮ Whitney numbers of the second kind of finite modular lattices ⋮ Unimodal Polynomials Arising from Symmetric Functions ⋮ β-reciprocal polynomials ⋮ Combinatorial statistics on alternating permutations ⋮ On the unimodality of the independent set numbers of a class of matroids ⋮ Proof of a conjecture involving Sun polynomials ⋮ Polynomials with palindromic and unimodal coefficients ⋮ An analytic approach to maximize entropy for computing equilibrium densities of k-mers on linear chains
This page was built for publication: A Theorem on Reciprocal Polynomials with Applications to Permutations and Compositions