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Project
Analytic estimates of class numbers and relative class numbers
The class number $h$ is possibly the most important invariant of a number field. In the present project bounds for $h$ are obtained by a combination of a sieve theoretic and analytic means. One of the new features of the project is the use of higher derivatives to bound the residue of the Dedekind zeta-function.
Date:1 Oct 2011 → 30 Sep 2015
Keywords:Dedekind-zeta function, class number, Sieve theory
Disciplines:Algebra, Analysis