Abstract: We give asymptotic formulae for random matrix averages of derivatives of characteristic polynomials over the groups USp(2N), SO(2N) and O − (2N). These averages are used to predict the ...

If Vn and Yn are monic polynomials of degree n with Vn(0) ≠ 0 and Yn(0) ≠ 0 such that $\left\{ {{V_n}\left( z \right),{z^{ - n - 1}}{Y_n}\left( z \right)} \right\}_{n = 0}^\infty $ is a biorthogonal ...

How complex is a given multivariate polynomial? The main point of this survey is that one can learn a great deal about the structure and complexity of polynomials by studying (some of) their partial ...

Abstract: Polynomials are perhaps the most important family of functions in mathematics. They feature in celebrated results from both antiquity and modern times, like ...

Transactions of the American Mathematical Society, Vol. 347, No. 6 (Jun., 1995), pp. 2161-2167 (7 pages) Let Sn be the collection of all algebraic polynomials of degree ≤ n with nonnegative ...