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          |  | Volume 7, Issue 3, Article 87 |  |   
          |  |  |  |  |  |  | An Inequality for the Class Number
 
 
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          |  |  | Authors: | Olivier Bordellès, |  |   
          |  |  | Keywords: | Piltz divisor function, Class number. |  |   
          |  |  | Date Received: | 05/10/05 |  |   
          |  |  | Date Accepted: | 10/03/06 |  |   
          |  |  | Subject Codes: | 11N99, 11R29. |  |   
          |  |  | Editors: | Jozsef Sandor, |  |   
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          |  |  | Abstract: |  We prove in an elementary way a new inequality for the average order of the Piltz divisor function with application to class number of number fields.
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