A Family of New-way Integrals for the Standard $\mathcal{L}$-function of Cuspidal Representations of the Exceptional Group of Type $G_2$

Avner Segal

Let ${\mathcal{L}}^S\left(s,\pi ,\chi ,\mathrm{st}\right)$ be a standard twisted partial $\mathcal{L}$-function of degree $7$ of the cuspidal automorphic representation $…