Difference between revisions of "Catalan's constant using Dirichlet beta"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Proposition:</strong> The following formula holds: $$K=\beta(2),$$ whe...") |
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$K=\beta(2),$$ | $$K=\beta(2),$$ | ||
where $K$ is [[Catalan's constant]] and $\beta$ denotes the [[Dirichlet beta]] function. | where $K$ is [[Catalan's constant]] and $\beta$ denotes the [[Dirichlet beta]] function. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
| − | + | ||
| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 08:00, 8 June 2016
Theorem
The following formula holds: $$K=\beta(2),$$ where $K$ is Catalan's constant and $\beta$ denotes the Dirichlet beta function.
