Computing annihilators of class groups from derivatives of 𝐿-functions

Sands, Jonathan; Tangedal, Brett

doi:10.1090/mcom/3297

Computing annihilators of class groups from derivatives of $L$-functions
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by Jonathan W. Sands and Brett A. Tangedal PDF

Math. Comp. 87 (2018), 2937-2953 Request permission

Abstract:

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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