Displaying similar documents to “Modular units inside cyclotomic units”

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes

Stéphane Louboutin (2005)

Journal de Théorie des Nombres de Bordeaux

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Lately, explicit upper bounds on | L ( 1 , χ ) | (for primitive Dirichlet characters χ ) taking into account the behaviors of χ on a given finite set of primes have been obtained. This yields explicit upper bounds on residues of Dedekind zeta functions of abelian number fields taking into account the behavior of small primes, and it as been explained how such bounds yield improvements on lower bounds of relative class numbers of CM-fields whose maximal totally real subfields are abelian. We present...