Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$

Anders Karlsson, Massimiliano Pallich

Type: Article

Publication Date: 2023-01-01

Citations: 0

DOI: https://doi.org/10.4064/aa220912-1-3

Abstract

The volume of the unit sphere in every dimension is given an interpretation as a product of special values of the zeta function of $\mathbb {Z}$, akin to volume formulas of Minkowski and Siegel in the theory of arithmetic groups. A product formula is foun

Locations

Acta Arithmetica - View - PDF
arXiv (Cornell University) - View - PDF

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