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Erdös-Borwein constant

The Erdős-Borwein constant is the sum of the reciprocals of the Mersenne numbers.

By definition it is:

It can be proved that the following forms are equivalent to the former:

where represents a multiplicative function, the number of positive divisors of the number .

Paul Erdős showed that the constant E is an irrational number.

Referenced By

Erdos | List of mathematical topics (D-F) | List of mathematical topics (F-Z) | List of number theory topics | Mathematical constant/Alternative sorting | Mathematical constant (sorted by continued fraction representation) | Mersenne number | Mersenne numbers | Mersenne prime | Paul Erdos | Paul Erdős | Paul Erdös | Pál Erdös

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Erdös-Borwein constant".

 

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