20 citations · 21 across the 10 of their papers we have counts for
4 papers · 1 filter
The asymptotic value of the Mahler measure of the Rudin-Shapiro polynomials
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…
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^…
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…
Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
Tamás Erdélyi
Let be non-negative integers. In a private communication Brian Conrey asked how fast the number of real zeros of the trigonometric polynomials $T_N(θ) =…