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