Zeros and convergent subsequences of Stern polynomials

Details Zeros and convergent subsequences of Stern polynomials Zeros and convergent subsequences of Stern polynomials

2012-02-18

arxiv.org/abs/1202.4110v1

Mathematics

Number Theory

Scientific paper

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.

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