On the fine expansion of the unipotent contribution of the Guo-Jacquet trace formula (Q2181508)

In this paper, the author establishes three results about the unipotent contribution of the Guo-Jacquet trace formula for the pair \((\mathrm{GL}_n(D),\mathrm{GL}_n(E))\), where \(E\) is a quadratic extension of a number field and \(D\) is a quaternion algebra containing \(E\), for a class of functions containing functions whose one finite component is essentially a matrix coefficient of a supercuspidal representation. The first result is a fine expansion in terms of global nilpotent integrals, while the second result is an expression of these integrals in terms of zeta integrals, and the third is some homogeneity properties that they satisfy.