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p-adic equidistribution of modular geodesics and of CM points on Shimura curves
| Indexado |
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| DOI | 10.1016/J.JNT.2025.01.010 | ||||
| Año | 2025 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
We propose a p-adic version of Duke's Theorem on the equidistribution of closed geodesics on modular curves. Our approach concerns quadratic fields split at pas well as a p-adic covering of the modular curve. We also prove an equidistribution result of CM points in the p-adic space attached to Shimura curves. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Perez-Pina, Patricio | - |
Pontificia Universidad Católica de Chile - Chile
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| Fuente |
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| Agencia Nacional de Investigación y Desarrollo |
| Staatssekretariat für Bildung, Forschung und Innovation |
| ANID Doctorado Nacional |
| Bourse d'excellence de la Confdration suisse (the State Secretariat for Education, Research and Innovation from Switzerland) |
| Bourse d'excellence de la Confédération |
| Bourse d'excellence de la Confédération suisse |
| Agradecimiento |
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| I would like to thank my advisor Ricardo Menares for trusting me with this project and for his support throughout this work. I also would like to thank Philippe Michel and the Analytic Number Theory group at EPFL. I was very lucky to enjoy their hospitality during the academic period 2022-2023. This work was supported by ANID Doctorado Nacional No 21200911 and by the Bourse d'excellence de la Confederation suisse (the State Secretariat for Education, Research and Innovation from Switzerland) No. 2022.0414. |
| I would like to thank my advisor Ricardo Menares for trusting me with this project and for his support throughout this work. I also would like to thank Philippe Michel and the Analytic Number Theory group at EPFL. I was very lucky to enjoy their hospitality during the academic period 2022-2023. This work was supported by ANID Doctorado Nacional No 21200911 and by the Bourse d'excellence de la Conf\u00E9d\u00E9ration suisse No. 2022.0414. |
| I would like to thank my advisor Ricardo Menares for trusting me with this project and for his support throughout this work. I also would like to thank Philippe Michel and the Analytic Number Theory group at EPFL. I was very lucky to enjoy their hospitality during the academic period 2022-2023. This work was supported by ANID Doctorado Nacional No 21200911 and by the Bourse d'excellence de la Conf\u00E9d\u00E9ration suisse No. 2022.0414. |
