Zeros and convergent subsequences of Stern polynomials
Number Theory
2015-09-23 v2 Complex Variables
Abstract
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. Also, uncountably many subsequences are found which each converge to a unique analytic function on the open unit disk. We thus generalize a result of Dilcher and Stolarsky from their second paper on the subject.
Keywords
Cite
@article{arxiv.1202.4110,
title = {Zeros and convergent subsequences of Stern polynomials},
author = {Antonio R. Vargas},
journal= {arXiv preprint arXiv:1202.4110},
year = {2015}
}
Comments
10 pages, 1 figure