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YCor
YCor
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Bracket Scaling
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Daniele Tampieri
Daniele Tampieri
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I have used mathematica to test following equation is true \begin{equation} \sum_{a,b=0}^{m-1} [\frac{a+b n}{m}] = \frac{n m^2}{2} -\frac{nm}{2} \end{equation}\begin{equation} \sum_{a,b=0}^{m-1} \left[\frac{a+b n}{m}\right] = \frac{n m^2}{2} -\frac{nm}{2} \end{equation} where $[x]$ is the floor function in mathematica

Do you have analytic derivation that how to get the RHS?

Thanks

I have used mathematica to test following equation is true \begin{equation} \sum_{a,b=0}^{m-1} [\frac{a+b n}{m}] = \frac{n m^2}{2} -\frac{nm}{2} \end{equation} where $[x]$ is the floor function in mathematica

Do you have analytic derivation that how to get the RHS?

Thanks

I have used mathematica to test following equation is true \begin{equation} \sum_{a,b=0}^{m-1} \left[\frac{a+b n}{m}\right] = \frac{n m^2}{2} -\frac{nm}{2} \end{equation} where $[x]$ is the floor function in mathematica

Do you have analytic derivation that how to get the RHS?

Thanks

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jtkw
jtkw
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Computation involving Gauss integer function

I have used mathematica to test following equation is true \begin{equation} \sum_{a,b=0}^{m-1} [\frac{a+b n}{m}] = \frac{n m^2}{2} -\frac{nm}{2} \end{equation} where $[x]$ is the floor function in mathematica

Do you have analytic derivation that how to get the RHS?

Thanks