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http://hdl.handle.net/2445/195282
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DC Field | Value | Language |
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dc.contributor.author | Guitart Morales, Xavier | - |
dc.contributor.author | Masdeu, Marc | - |
dc.date.accessioned | 2023-03-14T18:29:57Z | - |
dc.date.available | 2023-03-14T18:29:57Z | - |
dc.date.issued | 2015-03 | - |
dc.identifier.issn | 0025-5718 | - |
dc.identifier.uri | http://hdl.handle.net/2445/195282 | - |
dc.description.abstract | We extend the algorithm of Darmon-Green and Darmon-Pollack for computing $p$-adic Darmon points on elliptic curves to the case of composite conductor. We also extend the algorithm of Darmon-Logan for computing ATR Darmon points to treat curves of nontrivial conductor. Both cases involve an algorithmic decomposition into elementary matrices in congruence subgroups $\Gamma_1(\mathfrak{N})$ for ideals $\mathfrak{N}$ in certain rings of $S$-integers. We use these extensions to provide additional evidence in support of the conjectures on the rationality of Darmon points. | - |
dc.format.extent | 19 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1090/S0025-5718-2014-02853-6 | - |
dc.relation.ispartof | Mathematics of Computation, 2015, vol. 84, num. 292, p. 875-893 | - |
dc.relation.uri | https://doi.org/10.1090/S0025-5718-2014-02853-6 | - |
dc.rights | cc-by-nc-nd (c) American Mathematical Society (AMS), 2015 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions L | - |
dc.subject.classification | Àlgebra lineal | - |
dc.subject.classification | Teoria de la matriu S | - |
dc.subject.classification | Teoria de nombres | - |
dc.subject.other | L-functions | - |
dc.subject.other | Linear algebra | - |
dc.subject.other | S-matrix theory | - |
dc.subject.other | Number theory | - |
dc.title | Elementary matrix decomposition and the computation of Darmon points with higher conductor | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 650049 | - |
dc.date.updated | 2023-03-14T18:29:58Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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650049.pdf | 347.69 kB | Adobe PDF | View/Open |
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