Difference between revisions of "Erdős-Borwein Constant"
From specialfunctionswiki
(One intermediate revision by the same user not shown) | |||
Line 3: | Line 3: | ||
=Properties= | =Properties= | ||
− | + | [[Erdős-Borwein Constant is irrational]]<br /> | |
− | |||
− | |||
− | |||
− | |||
− | </ | ||
=References= | =References= | ||
[http://www.renyi.hu/~p_erdos/1948-04.pdf Paul Erdős - On Arithmetical Properties of Lambert Series] | [http://www.renyi.hu/~p_erdos/1948-04.pdf Paul Erdős - On Arithmetical Properties of Lambert Series] | ||
+ | |||
+ | [[Category:SpecialFunction]] |
Latest revision as of 17:44, 24 June 2016
$$E = \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{2^k-1} = 1.606695152415291763\ldots$$ Note that the numbers in the denominator in this sum are the Mersenne numbers.
Properties
Erdős-Borwein Constant is irrational