Can This Complex Infinite Sum Be Graphed?

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In summary, the conversation discusses graphing a double summation equation involving the imaginary part of the first nontrivial zero of the Riemann Zeta function. The forum member requests help with graphing the equation and asks for clarification on the equation and the value of k. Resources for graphing software are also mentioned.
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seanhbailey
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Homework Statement



Could anyone graph the equation [tex]\sum_{n=0}^{\infty} (-1)^n \sum_{n=0}^{\infty} 1/(it-1)^{k+1}[/tex] where the variable it is the imaginary part of the first nontrivial zero of the Riemann Zeta function?

Homework Equations





The Attempt at a Solution


I do not have any software to graph this; any help would be appreciated. Thanks.
 
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I can certainly help you with graphing this equation. However, before I do so, I want to make sure that we are on the same page about the equation itself. Just to clarify, the equation you provided is a double summation, where the first summation goes from n=0 to infinity and the second summation also goes from n=0 to infinity. Is this correct? Also, can you provide the value of k so I can accurately graph the equation?

In terms of software, there are many options available for graphing mathematical equations. Some popular ones include Wolfram Alpha, Desmos, and GeoGebra. Do you have access to any of these or other similar software? If not, I can also provide a hand-drawn graph for you.

Looking forward to your response.


 

FAQ: Can This Complex Infinite Sum Be Graphed?

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