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Volume 9, Issue 1, Article 12 |
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Properties of Some Functions Connected to Prime Numbers
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Authors: |
Gabriel Mincu, Laurentiu Panaitopol, |
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Keywords:
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Arithmetic functions, Inequalities, Landau's inequality, Additivity, Multiplicativity. |
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Date Received:
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08/09/2007 |
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Date Accepted:
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16/11/2007 |
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Subject Codes: |
11N64, 11Y70, 11N05.
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Editors: |
László Tóth, |
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Abstract: |
Let  and  be the Chebyshev functions. We denote  and  . We study subadditive and Landau-type properties for  and  . We show that  is subadditive and submultiplicative. Finally, we consider the prime counting function  and show that
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