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We generalise Pollack's construction of plus/minus L-functions to certaincuspidal automorphic representations of $\mathrm{GL}_{2n}$ using the $p$-adic$L$-functions constructed in forthcoming work of Barrera, Dimitrov andWilliams.

Plus/Minus $p$-adic $L$-functions for $\mathrm{GL}_{2n}$