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arXiv · 2607.28403

Ginzburg's conjecture on the unramified computation of Eulerian integrals

Colin Jia Sheng Loh
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Abstract

In this paper, we prove a conjecture of D. Ginzburg on the unramified computation of an Eulerian global integral associated with a cuspidal automorphic representation of $\mathrm{GL}_{2r}$ and the generalised Speh representation $\Delta(\tau_2, r)$ attached to a cuspidal automorphic representation $\tau_2$ of $\mathrm{GL}_2$. We also study an analogous Eulerian global integral involving degenerate Eisenstein series and compute its unramified local factors.

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Colin Jia Sheng Loh. 2026-07-30. Ginzburg's conjecture on the unramified computation of Eulerian integrals. https://arxiv.org/abs/2607.28403

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