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

Author
Darmon, H.; Lauder, A.; Rotger, V.
Type of activity
Journal article
Journal
Advances in mathematics
Date of publication
2015-10-01
Volume
283
First page
130
Last page
142
DOI
https://doi.org/10.1016/j.aim.2015.07.007 Open in new window
Project funding
Aritmética de funciones L y estructuras de Galois.
Repository
http://hdl.handle.net/2117/78762 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0001870815002455 Open in new window
Abstract
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 ...
Citation
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.
Keywords
Deformation theory, Explicit class field theory, MODULAR-FORMS, Mock modular forms, p-adic modular forms
Group of research
TN - Number Theory Research Group

Participants