p-adic families of dth Shintani liftings

Casazza, Daniele ; de Vera-Piquero, Carlos (Universidad de Zaragoza)

Resumen: In this note we give a detailed construction of a p-adic d-th Shintani lifting. We obtain a p-adic version of Kohnen’s formula relating Fourier coefficients of half-integral weight modular forms and special values of twisted L-series. As a by-product, we derive a mild generalization of such classical formulae, and also point out a relation between Fourier coefficients of p-adic d-th Shintani liftings and Stark-Heegner points.

Idioma: Inglés

DOI: 10.1007/s40316-021-00182-6

Año: 2022

Publicado en: Annales Mathematiques du Quebec 46, 2 (2022), 419-460
ISSN: 2195-4755

Factor impacto CITESCORE: 0.9 - Mathematics (Q4)

Factor impacto SCIMAGO: 0.288 - Mathematics (miscellaneous) (Q3)

Financiación: info:eu-repo/grantAgreement/EC/H2020/682152/EU/Euler systems and the conjectures of Birch and Swinnerton-Dyer, Bloch and Kato/BSD
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-66716-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO/SEV-2015-0554

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Algebra (Dpto. Matemáticas)