Towards the Jacquet Conjecture on the Local Converse Problem for $p$-adic ${\mathrm{GL}}_n$

Dihua Jiang, Chufeng Nien, Shaun Stevens

The Local Converse Problem is to determine how the family of the local gamma factors $\gamma (s,\pi \times \tau ,\psi )$ characterizes the isomorphism class of an irreducible admissible generic repr…