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arXiv · 1810.01694

Selberg Integral over Local Fields

Zenan Fu·Yongchang Zhu
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Abstract

Selberg introduced his beautiful integral formula in 1944, see [Sel]. Evans [E1] conjectured a finite field analog of Selberg integral formula in 1980. And Anderson [An] proved a major case of it in 1981 and his ideas was used to obtained the complete result [E2]. On the other hand, Aomoto [Ao] proved an analog of Selberg integral for complex field ${\mathbb{C}}$ in 1987. The purpose of the present paper is to formulate and prove Selberg integral formula for local fields of characteristic zero.

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Zenan Fu, Yongchang Zhu. 2018-10-03. Selberg Integral over Local Fields. https://arxiv.org/abs/1810.01694

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