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

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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…

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…