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

TL;DR

This paper extends the construction of plus/minus p-adic L-functions from GL_2 to GL_{2n} automorphic representations, leveraging recent advances in p-adic L-function theory.

Contribution

It generalizes Pollack's plus/minus p-adic L-functions to higher rank groups using new p-adic L-functions for GL_{2n}.

Findings

Constructs plus/minus p-adic L-functions for GL_{2n}.

Connects automorphic representations with p-adic L-functions.

Provides a framework for future research in higher rank p-adic L-functions.

Abstract

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