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BC_n-symmetric polynomials
Eric M. Rains
We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation polynomials and Koornwinder's orthogonal polynomials. We give a family of differen…
The Kruskal Count
Jeffrey C. Lagarias, Eric Rains, Robert J. Vanderbei
The Kruskal Count is a card trick invented by Martin J. Kruskal in which a magician "guesses" a card selected by a subject according to a certain counting procedure. With high prob…
New asymptotic bounds for self-dual codes and lattices
Eric M. Rains
We give an independent proof of the Krasikov-Litsyn bound d/n<~(1-5^{-1/4})/2 on doubly-even self-dual binary codes. The technique used (a refinement of the Mallows-Odlyzko-Sloane…
On a two-variable zeta function for number fields
Jeffrey C. Lagarias, Eric Rains
This paper studies a zeta function of two complex variables (w, s) attached to an algebraic number field K, introduced by van der Geer and Schoof, which is based on an analogue of…
A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux
Jinho Baik, Percy Deift, Eric Rains
We obtain an identity between Fredholm determinants of two kinds of operators, one acting on functions on the unit circle and the other acting on functions on a subset of the integ…