DC Field | Value | Language |
---|---|---|
dc.contributor.author | Im, Bo-Hae | ko |
dc.date.accessioned | 2016-09-08T00:54:01Z | - |
dc.date.available | 2016-09-08T00:54:01Z | - |
dc.date.created | 2016-09-07 | - |
dc.date.created | 2016-09-07 | - |
dc.date.issued | 2005-10 | - |
dc.identifier.citation | JOURNAL OF NUMBER THEORY, v.114, no.2, pp.312 - 323 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/10203/212957 | - |
dc.description.abstract | Let K be a number field, (K) over bar an algebraic closure of K and E/K an elliptic curve defined over K. Let G(K) be the absolute Galois group Gal((K) over bar /K) of K over K. This paper proves that there is a subset Sigma subset of G(K) of Haar measure 1 such that for every sigma is an element of Sigma, the spectrum of a in the natural representation E((K) over bar) circle times C of G(K) consists of all roots of unity, each of infinite multiplicity. Also, this paper proves that any complex conjugation automorphism in GK has the eigenvalue -1 with infinite multiplicity in the representation space E((K) over bar) circle times C of G(K). (c) 2005 Elsevier Inc. All rights reserved | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Infinite multiplicity of roots of unity of the Galois group in the representation on elliptic curves | - |
dc.type | Article | - |
dc.identifier.wosid | 000232288000006 | - |
dc.identifier.scopusid | 2-s2.0-24644484103 | - |
dc.type.rims | ART | - |
dc.citation.volume | 114 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 312 | - |
dc.citation.endingpage | 323 | - |
dc.citation.publicationname | JOURNAL OF NUMBER THEORY | - |
dc.identifier.doi | 10.1016/j.jnt.2005.06.002 | - |
dc.contributor.localauthor | Im, Bo-Hae | - |
dc.type.journalArticle | Article | - |
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