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Integral Eisenstein cocycles on $\mathbf {GL}_n$, II: Shintani’s method

Integral Eisenstein cocycles on $\mathbf {GL}_n$, II: Shintani’s method

We define a cocycle on \mathbf {GL}_n(\mathbf Q) using Shintani's method. This construction is closely related to earlier work of Solomon and Hill, but differs in that the cocycle property is achieved through the introduction of an auxiliary perturbation vector Q . As a corollary of our result we obtain …