The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Eisenstein cocycles for GL2Q and values of L-function in real quadratic fields.”

Simple proofs of the Siegel-Tatuzawa and Brauer-Siegel theorems

Stéphane R. Louboutin (2007)

Colloquium Mathematicae

Similarity:

We give a simple proof of the Siegel-Tatuzawa theorem according to which the residues at s = 1 of the Dedekind zeta functions of quadratic number fields are effectively not too small, with at most one exceptional quadratic field. We then give a simple proof of the Brauer-Siegel theorem for normal number fields which gives the asymptotics for the logarithm of the product of the class number and the regulator of number fields.