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Colección SciELO Chile

Functional equation of the p-adic L-function of Bianchi modular forms

Indexado

WoS	WOS:000869968500028
Scopus	SCOPUS_ID:85133665522

DOI

10.1016/J.JNT.2022.05.011

Año

2023

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 with class number 1, in this paper we obtain the functional equation of the p-adic L-function of small slope p-stabilised Bianchi modular forms. Then, using p-adic families of Bianchi modular forms, we extend our result to Σ-smooth base-change Bianchi modular forms.

Revista

Revista	ISSN
Journal Of Number Theory	0022-314X

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Palacios, Luis Santiago	Hombre	Universidad de Santiago de Chile - Chile

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Financiamiento

Fuente
Agencia Nacional de Investigación y Desarrollo
Agenția Națională pentru Cercetare și Dezvoltare

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Agradecimientos

Agradecimiento
I would like to thank my PhD supervisor Daniel Barrera for suggesting this topic to me, as well as for the many conversations we've had on the subject. Thanks also to Chris Williams for helpful conversations about Bianchi modular forms. Finally, I like to thank the referee for their valuable comments and corrections. This work was funded by the National Agency for Research and Development ( ANID , Chile)/Scholarship Program/BECA DOCTORADO NACIONAL/2018 - 21180506 .

Agradecimiento

I would like to thank my PhD supervisor Daniel Barrera for suggesting this topic to me, as well as for the many conversations we've had on the subject. Thanks also to Chris Williams for helpful conversations about Bianchi modular forms. Finally, I like to thank the referee for their valuable comments and corrections. This work was funded by the National Agency for Research and Development ( ANID , Chile)/Scholarship Program/BECA DOCTORADO NACIONAL/2018 - 21180506 .