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Volume 3, Issue 3, Article 38 |
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Explicit Upper Bounds for the Average Order of $d_n$ and Applications to Class Number
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Authors: |
Olivier Bordellès, |
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Keywords:
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Multiplicative number theory, Average order, Class number. |
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Date Received:
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29/06/01 |
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Date Accepted:
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13/03/02 |
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Subject Codes: |
11N99,11R29.
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Editors: |
Jozsef Sandor, |
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Abstract: |
In this paper, we prove some explicit upper bounds for the average order of the generalized divisor function, and, according to an idea of Lenstra, we use them to obtain bounds for the class number of number fields.
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