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Introduction to Number Theory  Homework on 22–25

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Math 422: Introduction to Number Theory
Homework on 22–25

A. Silverman 22.1.
B. Silverman 22.3.
C. Silverman 22.10.
D. Silverman 24.4.
E. Silverman 24.8.
F. Recall that Dm = {d ∈ N : d | m}. Use the Fundamental Theorem of
Arithmetic to show that if gcd(m, n) = 1, then the map
Dm × Dn → Dmn
(d, e) 7→ de
is a bijection.
G. Silverman 27.1.
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