Plus/minus p-adic L-functions for GL2n

We generalise Pollack’s construction of plus/minus L-functions to certain cuspidal automorphic representations of GL2n using the p-adic L-functions constructed in work of Barrera Salazar et al. (On p-adic l-functions for GL2n in finite slope shalika families, 2021). We use these to prove that the complex L-functions of such representations vanish at at most finitely many twists by characters of p-power conductor