Year: 2020
Type: preprint
Abstract: In this paper, a Chaudouard type trace formula is established for the Lie algebra $\mathfrak{gl}(n)$, by integrating the Lie algebra analogue of the Selberg kernel function against a mirabolic Eisenstein series on $\mathrm{GL}(n)$. The result is a combination of zeta functions $ζ_E(s)$ of extensions over the base field $F$ of degree $[E:F]\leq n$.
Source: arXiv (Cornell University)
Author: Cheng, Shuyang
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3007805904