I'm primarily interested in studying the zeros of polynomials of a
single complex variable (locating them, counting them, examining
asymptotic distributions in families, etc.) from the standpoint of
classical analysis.
Zeros of partial sums of power series for a family of exponential
integrals, I
A. R. Vargas (submitted)
[arXiv]
Zeros and convergent subsequences of Stern polynomials
A. R. Vargas Journal of Mathematical
Analysis and Applications, 398 (2013), No. 2,
pp. 630–637.
[ScienceDirect,
arXiv]
Interlacing and non-orthogonality of spectral polynomials for the Lamé
operator
A. Bourget, T. McMillen, and A. R. Vargas Proceedings of the
American Mathematical Society, 137 (2009), No. 5,
pp. 1699–1710.
[AMS,
arXiv]
A sum over the zeros of partial sums of exp(x)
C. Yalçin Yildirim Ramanujan Mathematical
Society, 6
(1991), No. 1-2, pp. 51-66.
[pdf]
On the number of distinct zeros of polynomials
M. S. Klamkin and D. J. Newman The
American
Mathematical Monthly, 66
(1959), No. 6, pp. 494-496.
[JSTOR]
Finite Calculus: A Tutorial for Solving Nasty Sums
David Gleich
[pdf]
