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arxiv: 2512.03412 · v5 · pith:MBSQXMN7new · submitted 2025-12-03 · 🧮 math.NT · math.RT

Fourier coefficients of Eisenstein series on {rm SO}(3,n+1)

classification 🧮 math.NT math.RT
keywords coefficientseisensteinfourierseriesboundedcomputedenominatoreverywhere
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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.

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