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Project: Analytic estimates of class numbers and relative class numbers

01-OCT-11 – 30-SEP-13

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.