Let R = (r1, . . . , rm) and C = (c1, . . . , cn) be positive integer vectors such that r1 + . . . + rm = c1 + . . . + cn. We consider the set (R, C) of non-negative m
In this paper we study polynomial identity testing of sums of k read-once algebraic branching programs (Σk-RO-ABPs), generalizing the work of Shpilka and Volkovich [1, 2], who co...
We propose fast algorithms for computing composed products and composed sums, as well as diamond products of univariate polynomials. These operations correspond to special multiva...
Alin Bostan, Philippe Flajolet, Bruno Salvy, &Eacu...
Let Fq be a finite field and consider the polynomial ring Fq[X]. Let Q Fq[X]. A function f : Fq[X] G, where G is a group, is called strongly Q-additive, if f(AQ + B) = f(A) + f(B...
We study the problem of counting and randomly sampling binary contingency tables. For given row and column sums, we are interested in approximately counting (or sampling) 0/1 n
Usually creative telescoping is used to derive recurrences for sums. In this article we show that the non-existence of a creative telescoping solution, and more generally, of a par...
Abstract. We show that any real matrix can be rounded to an integer matrix in such a way that the rounding errors of all row sums are less than one, and the rounding errors of all ...
Benjamin Doerr, Tobias Friedrich, Christian Klein,...