Eisenstein series twisted by modular symbols for the group $\SL _{n}$

We define Eisenstein series twisted by modular symbols for the group $\operatorname{SL} _{n}$, generalizing a construction of the first author \cite{goldfeld1, goldfeld2}. We show that, in the case of series attached to the minimal parabolic subgroup, our series converges for all points in a suitable cone. We conclude with examples for $\operatorname{SL} _{2}$ and $\operatorname{SL} _{3}$.

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Published 1 January 2000