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  Volume 6, Issue 3, Article 67
 
An Explicit Mertens' Type Inequality for Arithmetic Progressions

    Authors: Olivier Bordellès,  
    Keywords: Mertens' formula, Arithmetic progressions, Mean values of Dirichlet $L-$functions.  
    Date Received: 27/09/04  
    Date Accepted: 04/05/05  
    Subject Codes:

11N13, 11M20

 
    Editors: Jozsef Sandor,  
 
    Abstract:

We give an explicit Mertens type formula for primes in arithmetic
progressions using mean values of Dirichlet L-functions at s=1.

         
       
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