COMPUTING ANNIHILATORS OF CLASS GROUPS FROM DERIVATIVES OF L-FUNCTIONS

COMPUTING ANNIHILATORS OF CLASS GROUPS FROM DERIVATIVES OF L-FUNCTIONS

We computationally verify that certain group ring elements obtained from the first derivatives of abelian L-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 2018-11, Vol.87 (314), p.2937-2953
Hauptverfasser: SANDS, JONATHAN W., TANGEDAL, BRETT A.
Format: Artikel
Sprache:eng
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Zusammenfassung:We computationally verify that certain group ring elements obtained from the first derivatives of abelian L-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