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math.CV2017
Improved lower bounds for the Mahler measure of the Fekete polynomials
Tamás Erdélyi
We show that there is an absolute constant such that the Mahler measure of the Fekete polynomials of the form $$f_p(z) := \sum_{k=1}^{p-1}{\left( \frac kp \right)z^…
math.CV2017
On the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle
Tamás Erdélyi
In signal processing the Rudin-Shapiro polynomials have good autocorrelation properties and their values on the unit circle are small. Binary sequences with low autocorrelation coe…