# Approximation by polynomials and Blaschke products having all zeros on a circle

@article{Farmer2010ApproximationBP, title={Approximation by polynomials and Blaschke products having all zeros on a circle}, author={David W. Farmer and Pamela Gorkin}, journal={arXiv: Complex Variables}, year={2010} }

We show that a nonvanishing analytic function on a domain in the unit disc can be approximated by (a scalar multiple of) a Blaschke product whose zeros lie on a prescribed circle enclosing the domain. We also give a new proof of the analogous classical result for polynomials. A connection is made to universality results for the Riemann zeta function.

## One Citation

Approximating Functions by the Riemann Zeta-Function and by Polynomials with Zero Constraints

- Mathematics
- 2012

On certain compact sets K, we shall approximate functions having no zeros on the interior of K by translates of the Riemann zeta-function. As J. Andersson has shown recently, this is related to a…

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