On $p$-adic $L$-functions for $\mathrm{GL}(2)\times \mathrm{GL}(3)$ via pullbacks of Saito--Kurokawa lifts

Daniele Casazza, Carlos de Vera-Piquero

We build a one-variable $p$-adic $L$-function attached to two Hida families of ordinary $p$-stabilised newforms $\mathbf{f}$, $\mathbf{g}$, interpolating the algebraic part of the…