Project

Analytic estimates of class numbers and relative class numbers

Duration
01 October 2011 → 30 September 2015
Funding
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Algebra
    • Analysis
Keywords
Dedekind-zeta function class number Sieve theory
 
Project description

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.