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Definition: Arithmetic Function

A function $f:\mathbb Z \mapsto \mathbb C$ is called arithmetic (another name: number-theoretic).

Notes

  • The domain of arithmetic functions is the set of integers $\mathbb Z.$
  • The codomain of arithmetic functions can be integers $\mathbb Z,$ real numbers $\mathbb R,$ or even complex numbers $\mathbb C.$

| | | | | created: 2019-03-17 18:08:16 | modified: 2019-06-15 08:50:47 | by: bookofproofs | references: [701], [1272]


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Bibliography (further reading)

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

[701] Scheid Harald: “Zahlentheorie”, Spektrum Akademischer Verlag, 2003, 3. Auflage

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