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Overconvergent generalised eigenforms of weight one and class fields of real quadratic fields

Autor
Darmon, H.; Lauder, A.; Rotger, V.
Tipus d'activitat
Article en revista
Revista
Advances in mathematics
Data de publicació
2015-10-01
Volum
283
Pàgina inicial
130
Pàgina final
142
DOI
https://doi.org/10.1016/j.aim.2015.07.007 Obrir en finestra nova
Projecte finançador
Aritmética de funciones L y estructuras de Galois.
Repositori
http://hdl.handle.net/2117/78762 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0001870815002455 Obrir en finestra nova
Resum
This article examines the Fourier expansions of certain non-classical p-adic modular forms of weight one: the eponymous generalised eigertforms of the title, so called because they lie in a generalised eigenspace for the Hecke operators. When this generalised eigenspace contains the theta series attached to a character of a real quadratic field K in which the prime p splits, the coefficients of the attendant generalised eigenform are expressed as p-adic logarithms of algebraic numbers belonging ...
Citació
Darmon, H., Lauder, A., Rotger, V. Overconvergent generalised eigenforms of weight one and class fields of real quadratic fields. "Advances in mathematics", 01 Octubre 2015, vol. 283, p. 130-142.
Paraules clau
Deformation theory, Explicit class field theory, MODULAR-FORMS, Mock modular forms, p-adic modular forms
Grup de recerca
TN - Grup de Recerca en Teoria de Nombres

Participants