Averages and higher moments for the $$\ell $$-torsion in class groups
نویسندگان
چکیده
منابع مشابه
Bounds for the `-torsion in Class Groups
We prove for each integer ` ≥ 1 an unconditional upper bound for the size of the `-torsion subgroup ClK [`] of the class group of K, which holds for all but a zero density set of number fields K of degree d ∈ {4, 5} (with the additional restriction in the case d = 4 that the field be non-D4). For sufficiently large ` this improves recent results of Ellenberg, Matchett Wood, and Pierce, and is a...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2020
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-020-02121-2