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Non-cuspidal Bianchi modular forms and Katz p-adic L-functions
| Indexado |
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| DOI | 10.1007/S00209-025-03694-X | ||||
| Año | 2025 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
Let K be an imaginary quadratic field. In this article, we construct p-adic L-functions of non-cuspidal Bianchi modular forms by introducing the notions of C-cuspidality and partial Bianchi modular symbols. When p splits in K, we focus on p-adic L-functions of non-cuspidal base change Bianchi modular forms, showing that they factor as products of two Katz p-adic L-functions.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Palacios, Luis Santiago | - |
Universidad de Chile - Chile
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| Fuente |
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| Project Fondecyt |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| ANID Fondecyt |
| Agencia Nacional de Investigación y Desarrollo |
| ANID FONDECYT Postdoctorado |
| National Agency for Research and Development (ANID)/Scholarship Program/BECA DOCTORADO NACIONAL |
| Agenția Națională pentru Cercetare și Dezvoltare |
| Agradecimiento |
|---|
| I would like to thank my PhD advisor Daniel Barrera for suggesting this topic to me, as well as for the many conversations we have had on the subject. Special thanks to Chris Williams for kindly answering a lot of questions. I also thank Samit Dasgupta, Antonio Cauchi, Guhan Venkat and Eduardo Friedman for helpful comments that led to an improvement of this article. Finally, I would like to thank the referee for a careful reading of this manuscript and for excellent suggestions on improving this text. This work was funded by the National Agency for Research and Development (ANID)/Scholarship Program/BECA DOCTORADO NACIONAL/2018 - 21180506 and by Anid Fondecyt Postdoctorado 3240129. Likewise, some research visits were supported by the project FONDECYT 11201025. |
| I would like to thank my PhD advisor Daniel Barrera for suggesting this topic to me, as well as for the many conversations we have had on the subject. Special thanks to Chris Williams for kindly answering a lot of questions. I also thank Samit Dasgupta, Antonio Cauchi, Guhan Venkat and Eduardo Friedman for helpful comments that led to an improvement of this article. Finally, I would like to thank the referee for a careful reading of this manuscript and for excellent suggestions on improving this text. This work was funded by the National Agency for Research and Development (ANID)/Scholarship Program/BECA DOCTORADO NACIONAL/2018 - 21180506 and by Anid Fondecyt Postdoctorado 3240129. Likewise, some research visits were supported by the project FONDECYT 11201025. |
