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Proposition: Complete and Reduced Residue Systems (Revised)

Let $a > 0$ and $b > 0$ be positive integers which are co-prime $a\perp b.$ Then the integer $ax+by$ runs through all values of

| | | | | created: 2019-04-29 17:21:20 | modified: 2019-06-22 08:30:21 | by: bookofproofs | references: [1272], [8152]

1.Proof: (related to "Complete and Reduced Residue Systems (Revised)")

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Bibliography (further reading)

[8152] Jones G., Jones M.: “Elementary Number Theory (Undergraduate Series)”, Springer, 1998

[1272] Landau, Edmund: “Vorlesungen ├╝ber Zahlentheorie, Aus der Elementaren Zahlentheorie”, S. Hirzel, Leipzig, 1927