Benjamin Bedert

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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.CA2025

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 $[0, 2 I ¨ ]$ 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 in…