Suppose that phi (x) belongs to Aut (Zn) and a is relatively prime to n. If phi (a)=b, determine a formula for phi (x). (So far I am able to determine that both a and b are generators of Zn, but I'm not sure what to do next. Thanks!)
Suppose that phi (x) belongs to Aut (Zn) and a is relatively prime to n. If phi (a)=b, determine a formula for phi (x). (So far I am able to determine that both a and b are generators of Zn, but I'm not sure what to do next. Thanks!)
Chapter9: Sequences, Probability And Counting Theory
Section9.6: Binomial Theorem
Problem 45SE: In the expansion of (5x+3y)n , each term has the form (nk)ankbk ,where k successively takes on the...
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Suppose that phi (x) belongs to Aut (Zn) and a is relatively prime to n. If phi (a)=b, determine a formula for phi (x).
(So far I am able to determine that both a and b are generators of Zn, but I'm not sure what to do next. Thanks!)
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