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Show that $Z < \sqrt p$ if $\left( \frac{m - n}p \right) = 1, m \in \mathcal N, n \in \mathcal N, m \ne n$.

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#gauss-sums
107
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Gauss like sum evaluation / estimate

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#number-theory #exponential-sum #gauss-sums
274
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How can I prove $Y=X+Z$ is a Gaussian Random Variable iff $Z$ is a Random Variable?

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#probability #random-variables #gauss-sums
389
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Determining the Value of a Gauss Sum.

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#number-theory #analytic-number-theory #exponential-sum #gauss-sums
930
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Gauss-type sums for cube roots

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#number-theory #gauss-sums
166
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Number of solutions of $N(y^{2}+x^{3}=1)=p+2ReJ(\chi,\rho)$

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#number-theory #gauss-sums
1.5k
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Fractions in limits of a summation

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#algebra-precalculus #sequences-and-series #gauss-sums
639
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Is there a way to directly compute maximum of a sum of several Gaussian functions?

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#probability #statistics #normal-distribution #machine-learning #gauss-sums
512
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Gauss Newton minimization of 2D linear function

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#optimization #gauss-sums
135
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Multi-dimensional MLE Gaussian

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#probability-distributions #normal-distribution #estimation #gauss-sums
283
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Gauss Sum of a Field with Four Elements

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#number-theory #gauss-sums
197
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Gaussian elimination with partial pivoting doubts

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#factoring #gauss-sums
576
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A Gauss sum like summation

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#number-theory #elementary-number-theory #algebraic-number-theory #gauss-sums
2.7k
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How to prove a generalized Gauss sum formula

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#number-theory #elementary-number-theory #algebraic-number-theory #gauss-sums
726
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Relation that holds for the Legendre symbol of an integer but not for the Jacobi symbol?

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#elementary-number-theory #roots-of-unity #gauss-sums

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