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- W3100841806 abstract "We compute all the moments of the p-torsion in the first step of a filtration of the class group defined by Gerth for cyclic fields of degree p, unconditionally for p=3 and under GRH in general. We show that it satisfies a distribution which Gerth conjectured as an extension of the Cohen-Lenstra-Martinet conjectures. In the p=3 case this gives the distribution of the 3-torsion of the class group modulo the Galois invariant part. We follow the strategy used by Fouvry and Kluners in their proof of the distribution of the 4-torsion in quadratic fields." @default.
- W3100841806 created "2020-11-23" @default.
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- W3100841806 date "2020-06-21" @default.
- W3100841806 modified "2023-09-23" @default.
- W3100841806 title "The distribution of p-torsion in degree p cyclic fields" @default.
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- W3100841806 doi "https://doi.org/10.2140/ant.2020.14.815" @default.
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