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 |
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| container_title | Mathematics of computation |
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| creator | SANDS, JONATHAN W. TANGEDAL, BRETT A. |
| description | 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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| language | eng |
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| source | Jstor Complete Legacy; American Mathematical Society Publications; American Mathematical Society Publications (Freely Accessible); JSTOR Mathematics & Statistics |
| title | COMPUTING ANNIHILATORS OF CLASS GROUPS FROM DERIVATIVES OF L-FUNCTIONS |
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