18.1.20. Let R = Z[√³]. Find 14 different units and 10 different irreducible ele- ments of R. How is finding integer solutions to x² - 3y² = 1 related to finding units of R?
18.1.20. Let R = Z[√³]. Find 14 different units and 10 different irreducible ele- ments of R. How is finding integer solutions to x² - 3y² = 1 related to finding units of R?
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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![18.1.20. Let R = Z[√³]. Find 14 different units and 10 different irreducible ele-
ments of R. How is finding integer solutions to x² - 3y² = 1 related to
finding units of R?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fbaae5-8d47-4476-8095-8b380294ae7e%2Fcc84660a-106a-432e-b710-9227c51784d5%2Fgpkgrna_processed.png&w=3840&q=75)
Transcribed Image Text:18.1.20. Let R = Z[√³]. Find 14 different units and 10 different irreducible ele-
ments of R. How is finding integer solutions to x² - 3y² = 1 related to
finding units of R?
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