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 ErdÅs | Paul Erdös | Pál Erdös
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