On the Elliptic Stark Conjecture in higher weight
We study the special values of the triple product p-adic L-function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose conjectural formulas for these values that can be seen as extending the Elliptic Stark Conjecture, and we provide theoretical e...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2020 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/336022 |
| Acesso em linha: | https://hdl.handle.net/2117/336022 https://dx.doi.org/10.5565/PUBLMAT6422009 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Arithmetical algebraic geometry Diophantine geometry triple product p-adic L-functions Elliptic Stark Conjecture modular forms Geometria algèbrica--Aritmètica Aritmètica Classificació AMS::11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry) Classificació AMS::14 Algebraic geometry::14G Arithmetic problems. Diophantine geometry Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Resumo: | We study the special values of the triple product p-adic L-function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose conjectural formulas for these values that can be seen as extending the Elliptic Stark Conjecture, and we provide theoretical evidence for them by proving some particular cases. |
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