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http://hdl.handle.net/2445/142921
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DC Field | Value | Language |
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dc.contributor.author | Dieulefait, L. V. (Luis Victor) | - |
dc.contributor.author | Soto Ballesteros, Eduard | - |
dc.date.accessioned | 2019-10-23T14:34:40Z | - |
dc.date.available | 2019-10-23T14:34:40Z | - |
dc.date.issued | 2018-02-06 | - |
dc.identifier.issn | 0213-2230 | - |
dc.identifier.uri | http://hdl.handle.net/2445/142921 | - |
dc.description.abstract | Let f be a newform of weight 2 on Γ0(N) with Fourier q-expansion f(q)=q+∑n≥2anqn, where Γ0(N) denotes the group of invertible matrices with integer coefficients, upper triangular mod N. Let p be a prime dividing N once, p∥N, a Steinberg prime. Then, it is well known that ap∈{1,−1}. We denote by Kf the field of coefficients of f. Let λ be a finite place in Kf not dividing 2p and assume that the mod λ Galois representation attached to f is irreducible. In this paper we will give necessary and sufficient conditions for the existence of another Hecke eigenform f′(q)=q+∑n≥2a′nqn p-new of weight 2 on Γ0(N) and a finite place λ′ of Kf′ such that ap=−a′p and the Galois representations ρ¯f,λ and ρ¯f′,λ′ are isomorphic. | - |
dc.format.extent | 9 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | European Mathematical Society Publishing House | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.4171/rmi/990 | - |
dc.relation.ispartof | Revista Matematica Iberoamericana, 2018, vol. 34, num. 1, p. 413-421 | - |
dc.relation.uri | https://doi.org/10.4171/rmi/990 | - |
dc.rights | (c) European Mathematical Society Publishing House, 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de Galois | - |
dc.subject.classification | Formes modulars | - |
dc.subject.other | Galois theory | - |
dc.subject.other | Modular forms | - |
dc.title | On congruences between normalized eigenforms with different sign at a Steinberg prime | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 687562 | - |
dc.date.updated | 2019-10-23T14:34:40Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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687562.pdf | 157.69 kB | Adobe PDF | View/Open |
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