Let be P odd an prime s.t- gcd (y² + 4v₁ p) = 1. 2 If (x + y √B ) ² = u ² + 4v (mod pk) (VK 6 N), then P either 4² + 4 v mod pk or 2 By² = (u² +4v) mod pk
Let be P odd an prime s.t- gcd (y² + 4v₁ p) = 1. 2 If (x + y √B ) ² = u ² + 4v (mod pk) (VK 6 N), then P either 4² + 4 v mod pk or 2 By² = (u² +4v) mod pk
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help me prove and explain
Transcribed Image Text:Let
odd
P
prime
s.t. gcd (4² + 4v₁ p) = 1.
2
If (x + y √e ) ² = u ² + 4v (mod pk) (VKEN), then
P
either
x² = 4²² +4v mod pk
be
an
or
8y2
No.
Date
= (u² +4v) mod p*
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