Difference between revisions of "Sum of values of sinc"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\displaystyle\sum_{k=1}^{\infty} \mathr...")
 
 
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==Theorem==
<strong>[[Sum of values of sinc|Theorem]]:</strong> The following formula holds:
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The following formula holds:
 
$$\displaystyle\sum_{k=1}^{\infty} \mathrm{sinc}(k) = \dfrac{\pi-1}{2},$$
 
$$\displaystyle\sum_{k=1}^{\infty} \mathrm{sinc}(k) = \dfrac{\pi-1}{2},$$
where $\mathrm{sinc}$ denotes the [[sinc|$\mathrm{sinc}$]] function and $\pi$ denotes [[Pi]].
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where $\mathrm{sinc}$ denotes the [[sinc|$\mathrm{sinc}$]] function and $\pi$ denotes [[pi]].
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<strong>Proof:</strong> █
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==Proof==
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==References==
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[[Category:Theorem]]
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[[Category:Unproven]]

Latest revision as of 08:02, 8 June 2016

Theorem

The following formula holds: $$\displaystyle\sum_{k=1}^{\infty} \mathrm{sinc}(k) = \dfrac{\pi-1}{2},$$ where $\mathrm{sinc}$ denotes the $\mathrm{sinc}$ function and $\pi$ denotes pi.

Proof

References