Benjamin Bedert

activity

20202025

most citedMoments of Generalized Cauchy Random Matrices and continuous-Hahn Polynomials

9 citations · 11 across the 7 of their papers we have counts for

collaborators

7 papers

math.CA2025

Polynomial bounds for the Chowla Cosine Problem

Benjamin Bedert

Let $A \subset N$ be a finite set of $n = ∣ A ∣$ positive integers, and consider the cosine sum $f_{A} (x) = \sum_{a \in A} cos a x$ . We prove that $$\min_x f_A(x)\leqslant -n^{ 1/5-o…

cs.DS2025

Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa

Benjamin Bedert, Tamio-Vesa Nakajima, Karolina Okrasa +1

We introduce a new notion of sparsification, called \emph{strong sparsification}, in which constraints are not removed but variables can be merged. As our main result, we present a…

math.NT2025

Large sum-free subsets of sets of integers via $L^{1}$ -estimates for trigonometric series

Benjamin Bedert

A set $B$ is said to be \emph{sum-free} if there are no $x, y, z \in B$ with $x + y = z$ . We show that there exists a constant $c > 0$ such that any set $A$ of $n$ integers contains a sum-f…

math.CA2024

An improved lower bound for a problem of Littlewood on the zeros of cosine polynomials

Benjamin Bedert

Let $Z (N)$ denote the minimum number of zeros in $[0, 2 π]$ that a cosine polynomial of the form $f_{A} (t) = n \in A \sum cos n t$ can have when $A$ is a finite set of non-negative int…

math.CA2023

On the zeros of reciprocal Littlewood polynomials

Benjamin Bedert

Let $P (z) = \sum_{n = 0}^{N} a_{n} z^{n}$ be a Littlewood polynomial of degree $N$ , meaning that $a_{n} \in {\pm 1}$ . We say that $P$ is reciprocal if $P (z) = z^{N} P (1/ z)$ . Borwein, Erdélyi and Litt…

math.PR2020★ 2 cited

On a distinguished family of random variables and Painlevé equations

Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes +1

A family of random variables $X (s)$ , depending on a real parameter $s > - \frac{1}{2}$ , appears in the asymptotics of the joint moments of characteristic polynomials of rando…

math.PR2020★ 9 cited

Moments of Generalized Cauchy Random Matrices and continuous-Hahn Polynomials

Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes +1

In this paper we prove that, after an appropriate rescaling, the sum of moments $E_{N}^{(s)} (T r (∣ H ∣^{2 k + 2} + ∣ H ∣^{2 k}))$ of an $…

Polynomial bounds for the Chowla Cosine Problem

Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa

Large sum-free subsets of sets of integers via L1-estimates for trigonometric series

An improved lower bound for a problem of Littlewood on the zeros of cosine polynomials

On the zeros of reciprocal Littlewood polynomials

On a distinguished family of random variables and Painlevé equations

Moments of Generalized Cauchy Random Matrices and continuous-Hahn Polynomials

Large sum-free subsets of sets of integers via $L^{1}$ -estimates for trigonometric series