${\mathrm{GL}}_2\times {\mathrm{GSp}}_2$ $L$-values and Hecke eigenvalue congruences

Jonas Bergström, Neil Dummigan, David Farmer +1

We find experimental examples of congruences of Hecke eigenvalues between automorphic representations of groups such as ${\mathrm{GSp}}_2(\mathbb{A})$, $\mathrm{SO}(4,3)(\mathbb{\mat…