Question

Let $D$ be a non-zero integer. For each prime $p$ coprime to $2D$, define $$ \chi_D(p) = \begin{cases} +1 & \text{if } X^2 = D \text{ has a solution in } \mathbb{F}_p \\ -1 & \text{otherwise} \end{cases} $$

Name: let d be a non zero integer for each prime p coprime to 2d define chidp begincases 1 textif x2 d text has a solution in mathbbfp 1 textotherwise endcases 74417
Uploaded: 2019-07-25T05:42:50-08:00
Duration: 5 min 28 s
Channel: Reza Ghamarshoushtari
Description: let d be a non zero integer for each prime p coprime to 2d define chidp begincases 1 textif x2 d text has a solution in mathbbfp 1 textotherwise endcases 74417

          Let $D$ be a non-zero integer. For each prime $p$ coprime to $2D$, define
$$
\chi_D(p) = \begin{cases}
+1 & \text{if } X^2 = D \text{ has a solution in } \mathbb{F}_p \\
-1 & \text{otherwise}
\end{cases}
$$

let d be a non zero integer for each prime p coprime to 2d define chidp begincases 1 textif x2 d text has a solution in mathbbfp 1 textotherwise endcases 74417

Added by Daisy M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Reza Ghamarshoushtari

07/25/2019

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Let $D$ be a non-zero integer. For each prime $p$ coprime to $2D$, define $$ \chi_D(p) = \begin{cases} +1 & \text{if } X^2 = D \text{ has a solution in } \mathbb{F}_p \\ -1 & \text{otherwise} \end{cases} $$