On p-adic L-functions for $\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ over totally real fields

Abstract

We refine and extend previous constructions of $p$-adic $L$-functions for Rankin-Selberg convolutions on $\GL(n)\times\GL(n-1)$ for regular algebraic representations over totally real fields. We also prove an intrinsic functional equation for this $p$-adic $L$-function, which will be of interest in further study of its arithmetic properties.

Cited by in corpus (2)

• Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of $p$-adic $L$-functions
• The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions