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Corollary: Sums, Products, and Powers Of Congruences

Let $m > 0$ be a positive integer and let $a_1,\ldots,a_r$ be integers. Then the sum and the product of the congruences $a_i(m)$, $i=1,\ldots,r$ are defined by



For any integer $a$, we set the power of the congruence $a(m)$ by


| | | | | created: 2019-04-13 08:05:23 | modified: 2019-04-13 08:11:24 | by: bookofproofs | references: [1272], [8152]

1.Proof: (related to "Sums, Products, and Powers Of Congruences")

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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