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For which p= 3 mod 4 is i a square in F»[i]? For which p = 3 mod 4 is i the square of an element in T(p)?

For which p= 3 mod 4 is i a square in F»[i]? For which p = 3 mod 4 is i the square of an element in T(p)?

Advanced Engineering Mathematics
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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For which p= 3 mod 4 is i a square in Fp[i]? For which p = 3 mod 4 is i the square of an element in T(p)?
Transcribed Image Text:For which p= 3 mod 4 is i a square in Fp[i]? For which p = 3 mod 4 is i the square of an element in T(p)?
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