AbstractWe prove a new result on N-rational series in one variable. This result gives, under an appropriate hypothesis, a necessary and sufficient condition for an N-rational series to be of star-height 1. The proof uses a theorem of Handelman on integral companion matrices
AbstractWe give criteria for the rationality of Cantor series and series where a1, a2, ··· and b1,...
summary:A sign pattern matrix (or nonnegative sign pattern matrix) is a matrix whose entries are fro...
We investigate the Membership Problem for hypergeometric sequences: given a hypergeometric sequence ...
AbstractWe prove a new result on N-rational series in one variable. This result gives, under an appr...
This work concerns rational series having nonnegative integral coefficients and is centered on two k...
AbstractSoittola’s theorem characterizes R+- or N-rational formal power series in one variable among...
AbstractWe prove some results related to the generalized star-height problem. In this problem, as op...
AbstractIn some multivariate time-series models a matrix power series is involved. These models can ...
Given a p×q nonnegative matrix M, the psd rank of MM is the smallest integer k such that there exist...
Given a family of recognizable languages L1, . . . ,Lm and recognizable languages K1 ⊆ K2, the relat...
We study the number of representations of an integer n=F(x) by a homogeneous form in sufficiently ma...
Let d ≥2 be an integer, let c ∈ ℚ(t) be a rational map, and let f_t(z) = (z^d+t)/z be a family of r...
We organize the nilpotent orbits in the exceptional complex Lie algebras into series and show that w...
We consider D-finite power series f(z) = sigma(n >= 0) a(n)z(n )with coefficients in a number fie...
Andrews and Merca investigated a truncated version of Euler's pentagonal number theorem and showed t...
AbstractWe give criteria for the rationality of Cantor series and series where a1, a2, ··· and b1,...
summary:A sign pattern matrix (or nonnegative sign pattern matrix) is a matrix whose entries are fro...
We investigate the Membership Problem for hypergeometric sequences: given a hypergeometric sequence ...
AbstractWe prove a new result on N-rational series in one variable. This result gives, under an appr...
This work concerns rational series having nonnegative integral coefficients and is centered on two k...
AbstractSoittola’s theorem characterizes R+- or N-rational formal power series in one variable among...
AbstractWe prove some results related to the generalized star-height problem. In this problem, as op...
AbstractIn some multivariate time-series models a matrix power series is involved. These models can ...
Given a p×q nonnegative matrix M, the psd rank of MM is the smallest integer k such that there exist...
Given a family of recognizable languages L1, . . . ,Lm and recognizable languages K1 ⊆ K2, the relat...
We study the number of representations of an integer n=F(x) by a homogeneous form in sufficiently ma...
Let d ≥2 be an integer, let c ∈ ℚ(t) be a rational map, and let f_t(z) = (z^d+t)/z be a family of r...
We organize the nilpotent orbits in the exceptional complex Lie algebras into series and show that w...
We consider D-finite power series f(z) = sigma(n >= 0) a(n)z(n )with coefficients in a number fie...
Andrews and Merca investigated a truncated version of Euler's pentagonal number theorem and showed t...
AbstractWe give criteria for the rationality of Cantor series and series where a1, a2, ··· and b1,...
summary:A sign pattern matrix (or nonnegative sign pattern matrix) is a matrix whose entries are fro...
We investigate the Membership Problem for hypergeometric sequences: given a hypergeometric sequence ...
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