Special values of $L$-functions and the refined Gan-Gross-Prasad conjecture

Harald Grobner, Jie Lin

We prove explicit rationality-results for Asai- $L$-functions, $L^S(s,{\Pi }^{\prime },{\mathrm{As}}^{\pm })$, and Rankin-Selberg $L$-functions, $L^S(s,\Pi \times {\Pi }^{\prime })$, over arbitrary CM-fields $F$, relatin…