Displaying similar documents to “Theta Series of Imaginary Quadratic Function Fields.”

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

Stéphane R. Louboutin (2007)

Colloquium Mathematicae

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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.