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Fourier coefficients of Eisenstein series on ${\rm SO}(3,...
[Submitted on 3 Dec 2025 (v1), last revised 2 Jun 2026 (this ver · 2026-06-03 · via math updates on arXiv.org

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Abstract:We explicitly compute Fourier coefficients of Eisenstein series on the special orthogonal group $G={\rm SO}(3,n+1)$ over $\mathbb{Q}$ with $n\ge 2$ which splits everywhere at finite places. We show that it has a bounded denominator.

Submission history

From: Takuya Yamauchi [view email]
[v1] Wed, 3 Dec 2025 03:39:27 UTC (36 KB)
[v2] Fri, 12 Dec 2025 09:32:12 UTC (38 KB)
[v3] Wed, 25 Feb 2026 01:53:47 UTC (41 KB)
[v4] Fri, 20 Mar 2026 02:46:15 UTC (1 KB) (withdrawn)
[v5] Tue, 2 Jun 2026 16:15:25 UTC (25 KB)