Two Identities Relating Eisenstein Series on General Linear Groups. In Preparation.
We give a general identity relating Eisenstein series on general linear groups. We do it by constructing an Eisenstein series, attached to a maximal parabolic subgroup and a pair of representations, one cuspidal and the other a character, and express it in terms of a degenerate Eisenstein series. In the local fields analogue we find that the unramified calculation gives the Godement-Jacquet zeta function. This realizes and generalizes the construction proposed by Ginzburg and Soudry in section 3 (2019).
An Identity Relating Eisenstein Series on General Linear Groups, Algebra and Number Theory Seminar, The University of Arizona (January 25, 2022).
Harmonic analysis over finite fields, TAU Postdoc/graduate student seminar, Tel Aviv University (December 26, 2021).
An Identity Relating Eisenstein Series on General Linear Groups, Algebra and Number Theory Seminar, Yale University (May 11, 2021).