Ginzburg's conjecture on the unramified computation of Eulerian integrals

2026/07/30 by Colin Jia Sheng Loh
Mathematics · #math.NT

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arxiv created 2026/07/30 · arxiv updated 2026/07/31

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 GL_2r and the generalised Speh representation Δ(τ₂, r) attached to a cuspidal automorphic representation τ₂ of GL₂. We also study an analogous Eulerian global integral involving degenerate Eisenstein series and compute its unramified local factors.

Citations

• Doubling Constructions and Tensor Product L-Functions: the linear case
• On the length of global integrals for GL_n
• Classification of some Global Integrals related to groups of type A_n

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• Constructions of global integrals in the exceptional groups
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• Plancherel decomposition of Howe duality and Euler factorization of automorphic functionals