We establish a generalized Ihara zeta function formula for simple graphs with bounded degree. This is generalization of the obtained by G. Chinta, J. Jorgenson and A. Karlsson from vertex-transitive graphs.

Assaf and McNamara [1] recently used combinatorics to give an elegant and surprising formula for the product of a skew Schur function by a complete homogeneous symmetric function. Their paper included an appendix by one of us (Lam) with a simple algebraic proof of their formula, and also a conjectural skew version of the Littlewood-Richardson rule. We show how these formulas and much more are s...

Let X be an observable random variable with unknown distribution function [Formula: see text], [Formula: see text], and let [Formula: see text] We call θ the power of moments of the random variable X. Let [Formula: see text] be a random sample of size n drawn from [Formula: see text]. In this paper we propose the following simple point estimator of θ and investigate its asymptotic properties: [...