Discrete restriction for $(x,x^3)$ and related topics

Kevin Hughes, Trevor D. Wooley

Defining the truncated extension operator $E$ for a sequence $a(n)$ with $n\in \mathbb{Z}$ by putting \[ E{a}(α,β):=\sum_{|n|\leq N}a(n) e(αn^3 + βn), \] we obtain the conjecture…