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Cho, Peter J.
Lab for L-functions and arithmetic
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dc.citation.endPage 1414 -
dc.citation.number 4 -
dc.citation.startPage 1403 -
dc.citation.title PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY -
dc.citation.volume 151 -
dc.contributor.author Cho, Peter J. -
dc.date.accessioned 2023-12-21T12:44:38Z -
dc.date.available 2023-12-21T12:44:38Z -
dc.date.created 2022-07-05 -
dc.date.issued 2023-04 -
dc.description.abstract Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic extensions of degree l over Q with l a prime not equal to 2, is at most 2+rQ(E), where rQ(E) is the analytic rank of the elliptic curve E over Q. This bound is independent of the degree l Also, we also obtain some average analytic rank results over Sd-fields. -
dc.identifier.bibliographicCitation PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.151, no.4, pp.1403 - 1414 -
dc.identifier.doi 10.1090/proc/16182 -
dc.identifier.issn 0002-9939 -
dc.identifier.scopusid 2-s2.0-85149118645 -
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/58825 -
dc.identifier.url https://www.ams.org/journals/proc/0000-000-00/S0002-9939-2023-16182-1/?active=current -
dc.identifier.wosid 000924699200001 -
dc.language 영어 -
dc.publisher American Mathematical Society -
dc.title Analytic ranks of elliptic curves over number fields -
dc.type Article -
dc.description.isOpenAccess TRUE -
dc.relation.journalWebOfScienceCategory Mathematics, Applied;Mathematics -
dc.relation.journalResearchArea Mathematics -
dc.type.docType Article -
dc.description.journalRegisteredClass scie -
dc.description.journalRegisteredClass scopus -
dc.subject.keywordAuthor Elliptic curve -
dc.subject.keywordAuthor analytic rank -
dc.subject.keywordAuthor cyclic extension -

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