Tamás Erdélyi

activity

19952026

most citedLimits on Preserving Quantum Coherence using Multi-Pulse Control

46 citations · 61 across the 10 of their papers we have counts for

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8 papers · 1 filter

math.CA2026

On an Erdös Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl

Tamás Erdélyi

Making a progress in an Erdös problem dating back to 1957, we show that $t \in R max ∣ P_{n} (e^{i t}) ∣^{2} \geq n + 1 + \frac{1}{38} n^{1/3}$ for every polynomial $P_{n}$ of degr…

math.CA2026

Bourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real Line

Tamás Erdélyi

We prove that $t \in R max T_{n} (t) \geq \frac{1}{60} n^{1/3} and - t \in R min T_{n} (t) \geq \frac{1}{60} n^{1/3}$ for every trigonometric p…

math.CA2021

The Zero Set of an Electric Field from a Finite Number of Point Charges

Tamás Erdélyi, Joseph Rosenblatt, Rebecca Rosenblatt

We consider the structure of the zero set in $R^{3}$ of the electric vector field $F = (X, Y, Z)$ from a finite set of point charges. We are most interested in the ca…

math.CA2020

Do flat skew-reciprocal Littlewood polynomials exist?

Tamás Erdélyi

Polynomials with coefficients in ${- 1, 1}$ are called Littlewood polynomials. Using special properties of the Rudin-Shapiro polynomials and classical results in approximation theo…

math.CA2019

Turán-type reverse Markov inequalities for polynomials with restricted zeros

Tamás Erdélyi

Let $P_{n}^{c}$ denote the set of all algebraic polynomials of degree at most $n$ with complex coefficients. Let $D^{+} := {z \in C : ∣ z ∣ \leq 1, ℑ (z) \geq 0}$ …

math.CA2018

Reverse Markov- and Bernstein-type inequalities for incomplete polynomials

Tamás Erdélyi

Let $P_{k}$ denote the set of all algebraic polynomials of degree at most $k$ with real coefficients. Let $P_{n, k}$ be the set of all algebraic polynomials of d…

math.CA2018★ 3 cited

Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle

Tamás Erdélyi

Let either $R_{k} (t) := ∣ P_{k} (e^{i t}) ∣^{2}$ or $R_{k} (t) := ∣ Q_{k} (e^{i t}) ∣^{2}$ , where $P_{k}$ and $Q_{k}$ are the usual Rudin-Shapiro polynomials of degree $n - 1$ with $n = 2^{k}$ . In a recent paper…

math.CA1995

Müntz spaces and Remez inequalities

Peter Borwein, Tamás Erdélyi

Two relatively long-standing conjectures concerning Müntz polynomials are resolved. The central tool is a bounded Remez type inequality for non-dense Müntz spaces.