Converse Theorem Meets Gauss Sums (with an appendix by Zhiwei Yun)

Chufeng Nien, Lei Zhang

This paper verifies $n\times 1$ Local Converse Theorem for twisted gamma factors of irreducible cuspidal representations of ${\mathrm{GL}}_n({\mathbb{F}}_p)$, for $n\le 5,$ and of irred…