Distribution of rational points of bounded height on equivariant compactifications of ${\mathrm{PGL}}_2$ I

Abstract

We study the distribution of rational points of bounded height on a one-sided equivariant compactification of ${\mathrm{PGL}}_2$ using automorphic representation theory of ${\mathrm{PGL}}_2$.

31 pages. The paper has been revised. We have now proved the main theorem for all big line bundles. We have also corrected several mathematical and stylistic errors

References in corpus (3)

• Rational points on some Fano cubic bundles
• New bounds for automorphic L-functions
• Height zeta functions of equivariant compactifications of unipotent groups