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September 5, 2023

The Riemann hypothesis

Filed under: Mathematics,the riemann hypothesis — Rob burchett @ 12:22 pm

It seems to me there may be an easier way to express the zeta function: Z(s)=1/1^s+1/2^s+1/3^s…..using the ideas of concept sharing as it applies to geometry.

concept sharing is shown here: Online Tutoring Services Ontario Canada ยป a clearer and simpler explanation of knottedness using concept sharing (calctutor.ca)

One may imagine a type of gird with the first square being 1, the next being 1/2^2 the next being 1/3^2… if we use s=2 as an example. See pictures in the note below. The higher numbers of s can be seen by increasing the dimension.

Since with concept sharing geometry there comes a place of places, in which places can vary, we may vary the distance as we choose to always make the zeta function defined. Then there is no longer a need for analytic continuation.

Then we have that there are two types of number involved. A real part and an imaginary part.

I think this can be seen more primitively as a numbers with a fixed zero and numbers with a moving zero. The fixed number must come first, so this can be akin to the real numbers and the moving number, the moving zero, is akin to the imaginary numbers.

Then it comes about that there is a line formed in the real part with a definite center which is clearly 1/2 of the whole and the imaginary part can be any imaginary number that we choose.

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