Computing annihilators of class groups from derivatives of L L -functions

Computing annihilators of class groups from derivatives of L L -functions

We computationally verify that certain group ring elements obtained from the first derivatives of abelian LL-functions at the origin annihilate ideal class groups. In our test cases, these ideal class groups are connected with cyclic extensions of degree 6 over real quadratic fields.

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Veröffentlicht in:Mathematics of computation 2018-01, Vol.87 (314), p.2937-2953
Hauptverfasser: Sands, Jonathan W., Tangedal, Brett A.
Format: Artikel
Sprache:eng
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Research article
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Zusammenfassung:We computationally verify that certain group ring elements obtained from the first derivatives of abelian LL-functions at the origin annihilate ideal class groups. In our test cases, these ideal class groups are connected with cyclic extensions of degree 6 over real quadratic fields.
ISSN:0025-5718
1088-6842
DOI:10.1090/mcom/3297