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harry2005

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how to 'Test Relation' the Euler Product...

harry2005 10 Maple
sum product euler
April 22 2018
2 3

How to 'Test Relation' the Euler Product formula in Maple?

Euler product formula in Maple:

sum(1/n^s, n = 1 .. infinity) = product(ithprime(j)^s/(ithprime(j)^s-1), j = 1 .. infinity);

 

I often do "Test -> Relation" from the right-click context menu in Maple to verify equations as I enter them.

When I do that for the above Euler Product "formula", it says it is false.  I know it is because I need to further add that s > 1.

 However, I am not sure how to enter the further constraint that s must be greater than 1 (s > 1) so that Maple recognizes that before Testing the Ralation of the Euler Product equation I entered.  What is the syntax for entering that further constraint of s > 1?

 

 

 

 

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