Binary sequences derived from differences of consecutive quadratic residues

Arne Winterhof, Zibi Xiao

For a prime $p\ge 5$ let $q_0,q_1,\dots ,q_{(p-3)/2}$ be the quadratic residues modulo $p$ in increasing order. We study two $(p-3)/2$-periodic binary sequences $(d_n)$ and $(t_n)$…