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Results tagged with exponential-sums
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user 489481
The method of exponential sums is one of a few general methods enabling us to solve a wide range of miscellaneous problems from the theory of numbers and its applications. The strongest results have been obtained with the aid of this method. Therefore knowledge of the fundamentals of theory of exponential sums is necessary for studying modern number theory.
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A double sum with complex numbers having stochastic variables
I am very confused by a sum I have been trying to solve analytically/ numerically for a long time. It comes from the idea of a physical problem where the observation is made that has a combined respon …
- 159
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A double sum with complex numbers having stochastic variables
I tried the way @Carlo suggested in the answer.
First, I tried expanding the sine ratio term.
$$ \left( \frac{\sin(Nx/2)}{\sin(x/2)} \right)^2 = \left( \frac{ \exp(i N x/2) - \exp(-iN x/2) }{ \exp(i …
- 159