We use modular symbols to construct p-adic L-functions for cohomological cuspidal automorphic representations on GL(2n), which admit a Shalika model. Our construction differs from former ones in that it systematically makes use of the representation theory of p-adic groups.
On the arithmetic of Shalika models and the critical values of $L$-functions for ${\rm GL}(2n)$
Hyperbolic lattice-point counting and modular symbols
Non-Random Behaviour in Sums of Modular Symbols
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