Adding units mod \(n\) (Q1589797)
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scientific article; zbMATH DE number 1542562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adding units mod \(n\) |
scientific article; zbMATH DE number 1542562 |
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Adding units mod \(n\) (English)
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2 December 2001
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It is shown that the congruence \(x+y\equiv k\pmod n\) has \(\varphi(n)\Psi(d,n)/\varphi(n/d)\) solutions satisfying \((xy,n)=1\). Here \(d=(k,n)\) and \(\Psi(d,n)\) denotes the number of automorphisms of the cyclic group of \(n\) elements having exactly \(d\) fixpoints.
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units \(\bmod\
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n\)
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