Connected abelian complex Lie groups and number fields

By comparing cup-products in étale cohomology of Spec O K and cohomology of uniform pro-2 groups, we obtain situations where G ur K (2) has no non-trivial uniform analytic

We prove new explicit formulas for the p-adic L-functions of totally real number fields and show how these formulas can be used to compute values and representations of

Chen, Wang and Zhang generalise and improve the results of Yu [16], by con- sidering the problem of uniqueness of f and (f n ) (k) , when they share a small function and proved

A first crucial fact is that ψ = ϕ| U ◦ exp is a G-invariant function of positive type on u (for the underlying abelian group structure) and is extremal under such functions

As we pointed out in the introduction, among the 172 complex Abelian number fields with class number one, 132 of them are known to be unramified closed under the unconditional

Our interest for the existence of quasi-isometrically embedded free subsemigroups comes from the following result of Bourgain [Boug]: a regular tree of degree at least three has

Complex reflection groups and associated braid groups. Michel

We show that, up to isomorphism, there are only finitely many totally real function fields which have any totally imaginary extension of a given ideal class