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A problem with the Legendre/Jacobi symbols: $\sum_{n=1}^{p}\left(\frac{an+b}{p}\right)=0$ [duplicate]
number-theory
summation
legendre-symbol
How can I prove these summations for the legendre symbol
elementary-number-theory
summation
legendre-symbol
How to solve $1+\frac12-\frac13+\frac14-\frac15-\frac16+\frac18+\ldots+\left(\frac n7\right)\frac1n+\ldots$?
sequences-and-series
number-theory
algebraic-number-theory
legendre-symbol
sum of the product of consecutive legendre symbols is -1
elementary-number-theory
summation
legendre-symbol
Legendre symbol, second supplementary law
number-theory
elementary-number-theory
modular-arithmetic
quadratic-residues
legendre-symbol
Legendre symbol: Showing that $\sum_{m=0}^{p-1} \left(\frac{am+b}{p}\right)=0$
elementary-number-theory
summation
legendre-symbol
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