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arXiv · 2512.03412

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

Henry H. Kim·Takuya Yamauchi
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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.

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Henry H. Kim, Takuya Yamauchi. 2025-12-03. Fourier coefficients of Eisenstein series on ${\rm SO}(3,n+1)$. https://arxiv.org/abs/2512.03412

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