Nearly higher Coleman theory and p-adic L-functions for $\mathrm{GSp}(4)\times \mathrm{GL}(2)$ and $\mathrm{GSp}(4)\times \mathrm{GL}(2)\times \mathrm{GL}(2)$

Andrew Graham, Rob Rockwood

We construct four-variable $p$-adic $L$-functions for the spin Galois representation of a Siegel modular form of genus 2 twisted by the Galois representation of a cuspidal modular…