Difference between revisions of "Catalan's constant using Legendre chi"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Catalan's constant using Legendre chi:</strong> The following formula holds: $$K=-i\chi_2(i),$$ where $K$ is [...")
 
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$$K=-i\chi_2(i),$$
 
$$K=-i\chi_2(i),$$
 
where $K$ is [[Catalan's constant]] and $\chi$ denotes the [[Legendre chi]] function.
 
where $K$ is [[Catalan's constant]] and $\chi$ denotes the [[Legendre chi]] function.
where
 
 
<div class="mw-collapsible-content">
 
<div class="mw-collapsible-content">
 
<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  
 
</div>
 
</div>
 
</div>
 
</div>

Revision as of 01:20, 21 March 2015

Catalan's constant using Legendre chi: The following formula holds: $$K=-i\chi_2(i),$$ where $K$ is Catalan's constant and $\chi$ denotes the Legendre chi function.

Proof: