5 citations · 8 across the 3 of their papers we have counts for
6 papers
Fixed points of diffeomorphisms on nilmanifolds with a free nilpotent fundamental group
Karel Dekimpe, Sam Tertooy, Antonio R. Vargas
Let be a nilmanifold with a fundamental group which is free -step nilpotent on at least 4 generators. We will show that for any nonnegative integer there exists a self-d…
Scaling Limits for Partial Sums of Power Series
Antonio R. Vargas
In this thesis we show that the partial sums of the Maclaurin series for a certain class of entire functions possess scaling limits in various directions in the complex plane. In d…
Newman-Rivlin asymptotics for partial sums of power series
Antonio R. Vargas
We discuss analogues of Newman and Rivlin's formula concerning the ratio of a partial sum of a power series to its limit function and present a new general result of this type for…
Limit curves for zeros of sections of exponential integrals
Antonio R. Vargas
We are interested in studying the asymptotic behavior of the zeros of partial sums of power series for a family of entire functions defined by exponential integrals. The zeros grow…
Zeros of Sections of Some Power Series
Antonio R. Vargas
For a power series which converges in some neighborhood of the origin in the complex plane, it turns out that the zeros of its partial sums---its sections---often behave in a contr…
Zeros and convergent subsequences of Stern polynomials
Antonio R. Vargas
We investigate Dilcher and Stolarsky's polynomial analogue of the Stern diatomic sequence. Basic information is obtained concerning the distribution of their zeros in the plane. Al…