Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture

Pan Yan, Qing Zhang

In this article, we construct a family of integrals which represent the product of Rankin-Selberg $L$-functions of ${\mathrm{GL}}_l\times {\mathrm{GL}}_m$ and of $\mathrm{GL}_{l}\tim…