T. Erdélyi

collaborators

4 papers

math.CA2018

The asymptotic distance between an ultraflat unimodular polynomial and its conjugate reciprocal

Tamás Erdélyi

Let $K_{n} := {p_{n} : p_{n} (z) = k = 0 \sum n a_{k} z^{k}, a_{k} \in C, ∣ a_{k} ∣ = 1} .$ A sequence $(P_{n})$ of polynomials $P_n \in {\mat…

math.CA2018

The sharp Remez-type inequality for even trigonometric polynomials on the period

Tamás Erdélyi

We prove that $t \in [- π, π] max ∣ Q (t) ∣ \leq T_{2 n} (sec (s /4)) = \frac{1}{2} ((sec (s /4) + tan (s /4))^{2 n} + (sec (s /4) - tan (s /4))^{2 n})$ for every even trigonometric polynomia…

math.CA2017

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…

math.CV2017

Improved lower bounds for the Mahler measure of the Fekete polynomials

Tamás Erdélyi

We show that there is an absolute constant $c > 1/2$ such that the Mahler measure of the Fekete polynomials $f_{p}$ of the form $$f_p(z) := \sum_{k=1}^{p-1}{\left( \frac kp \right)z^…