We present a high performance algorithm for multiplying sparse distributed polynomials using a multicore processor. Each core uses a heap of pointers to multiply parts of the poly...
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Abstract. Abstraction is essential in the formal specification of programs. A common way of writing abstract specifications is to specify implementations in terms of basic mathem...
—In this paper, we manage to prove the log-concavity of the generalized Marcum Q-function Qν (a, b) with respect to its order ν on [1, ∞). The proof relies on a powerful math...