Eine endliche Formel für die Anzahl der Teiler von n |
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Authors: | Klaus Langmann |
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Institution: | Mathematisches Institut der Universität Münster, Roxeler Str. 64, 4400 Münster, W.-Germany |
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Abstract: | The number d(n) of positive divisors of a natural number n is known to exceed infinitely often any power of log n, but to be of lesser order of magnitude than any power of n with fixed positive exponent. A new finite formula for d(n) in terms of the Bernoulli numbers may be used to better analyze its fluctuating behavior. |
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