Abstract
We study the distribution of rational points of bounded height on a one-sided equivariant compactification of PGL2 using automorphic representation theory of PGL2.
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Acknowledgements
We wish to thank Daniel Loughran, Morten Risager, Yiannis Sakellaridis, Anders Södergren, and Yuri Tschinkel for useful communications. We would also like to thank referees for careful reading which significantly improves the exposition of our paper. The first author’s work on this project was partially supported by the National Security Agency and the Simons Foundation. The second author is supported by Lars Hesselholt’s Niels Bohr Professorship.
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Takloo-Bighash, R., Tanimoto, S. Distribution of rational points of bounded height on equivariant compactifications of PGL 2 I. Res. number theory 2, 6 (2016). https://doi.org/10.1007/s40993-016-0037-7
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DOI: https://doi.org/10.1007/s40993-016-0037-7