Distribution of rational points of bounded height on equivariant compactifications of $\mathrm{PGL}_2$ I
Ramin Takloo-Bighash, Sho Tanimoto
TL;DR
This paper investigates how rational points of bounded height are distributed on a specific compactification of PGL_2, employing automorphic representation theory to understand their distribution patterns.
Contribution
It introduces a novel approach using automorphic representation theory to analyze the distribution of rational points on equivariant compactifications of PGL_2.
Findings
Distribution patterns of rational points characterized
Automorphic methods applied successfully
Foundational results for future research
Abstract
We study the distribution of rational points of bounded height on a one-sided equivariant compactification of using automorphic representation theory of .
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Finite Group Theory Research