The Wiener norm of lifts of dense Sidon sets

Abstract

We describe, with proof, an infinite class of examples of finite sets of integers $A$ for which $\Vert \widehat{1_A}{\Vert }_1\ge (c_{\mathcal{R}}-o_{|A|\to \infty }(1))\sqrt{|A|}$ where $c_{\mathcal{R}}=0.953\dots$.

arXiv comment21pp