Arithmetic and Galois module structure for tame extensions.
Artin formalism and heat kernels.
Artin L-functions and modular forms associated to quasi-cyclotomic fields
Artin-Root Numbers and Normal Integral Bases for Quaternion Fields.
Asymptotic properties of Dedekind zeta functions in families of number fields
The main goal of this paper is to prove a formula that expresses the limit behaviour of Dedekind zeta functions for in families of number fields, assuming that the Generalized Riemann Hypothesis holds. This result can be viewed as a generalization of the Brauer–Siegel theorem. As an application we obtain a limit formula for Euler–Kronecker constants in families of number fields.
Average values of L-series in function fields.