arithmetic function

any function whose domain is the positive integers and whose range is a subset of the complex numbers
rdfs:label
"arithmetic function"@en
skos:altLabel
"arithmetical function"@en
"number theoretic function"@en
"number-theoretic function"@en
schema:description
"any function whose domain is the positive integers and whose range is a subset of the complex numbers"@en
schema:dateModified "2026-07-27T07:09:27+00:00"^^xsd:dateTime
schema:version 2523282998
wikibase:identifiers 9
wikibase:sitelinks 34
wikibase:statements 23
p:P10283 wd:statement/Q140744-68D62B28-139C-44F3-B1FA-F9BD46B631A7
p:P12987 wd:statement/Q140744-EAE875C3-02F0-41F5-A47F-550781A85544
p:P1382 wd:statement/Q140744-37c7f384-40a9-0023-2f22-64eb146ec3af
p:P1417 wd:statement/Q140744-0684f452-4914-bfa3-dfc6-509a2b00641e
p:P1568 wd:statement/Q140744-a61af42b-4dae-9967-b8de-eebea9b24cad
p:P1571 wd:statement/Q140744-4ee9d8d5-45db-313a-b42f-f9fc3e79b8e9
p:P2534 wd:statement/Q140744-46c6d0cc-4ef6-9f3e-1000-6d7beb5e1712
p:P279 wd:statement/Q140744-82879423-47e3-420a-00aa-c4611adf2287
wd:statement/Q140744-8c04d736-4bbf-f8b8-66b2-00107825217c
p:P349 wd:statement/Q140744-473AE392-17D1-4DB1-86AD-EE196AA7C269
p:P373 wd:statement/Q140744-58D0335C-0E7D-448B-968D-084BCCF9062C
p:P3827 wd:statement/Q140744-CE0CED08-785C-448F-A05A-42F48603FB81
p:P460 wd:statement/Q140744-7a9a43c4-4e69-0b85-afc0-4513d751d722
p:P6104 wd:statement/Q140744-88138FD6-4C67-4198-8DD9-99309868983E
p:P6366 wd:statement/Q140744-A839D3F1-C46A-41A9-93B3-CF792D290D5F
p:P646 wd:statement/Q140744-29D20E1B-A07C-4F9C-AFEF-E587EAF043F3
p:P7235 wd:statement/Q140744-699e2367-48ca-6f3e-4974-dab517fa70a6
wd:statement/Q140744-ae73d499-4e53-b52a-1b24-2cdf524802e9
wd:statement/Q140744-ca67ccce-4930-bbfb-e8de-aa3d5325bafa
p:P7554 wd:statement/Q140744-20814d66-424e-39d6-aea0-90b440c0c0fd
p:P8408 wd:statement/Q140744-1DFB343B-0D15-4FD9-AAE1-3FAE9EDC97FE
p:P910 wd:statement/Q140744-A6FD9D22-E50F-4C42-86F2-DE5C23261E0F
p:P973 wd:statement/Q140744-78096914-44fa-3dd1-01f1-00dd190c6dd5
p:direct-normalized/P349 <http://id.ndl.go.jp/auth/ndlna/00571752>
p:direct-normalized/P6366 <https://makg.org/entity/112343008>
p:direct-normalized/P8408 <http://kbpedia.org/kko/rc/ArithmeticFunction>
wdt:P10283 "C112343008"
wdt:P12987 "af"
wdt:P1382 function of an integer variable
wdt:P1417 "topic/arithmetic-function"
wdt:P1568 set of positive integers
wdt:P1571 set of complex numbers
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">:</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo stretchy="false" accent="false">&#x2192;</mo><mrow data-mjx-texclass="ORD"><mi>ℂ</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 function of an integer variable
sequence
wdt:P349 "00571752"
wdt:P373 "Arithmetic functions"
wdt:P3827 "number-theoretic-functions"
wdt:P460 sequence
wdt:P6104 WikiProject Mathematics
wdt:P6366 "112343008"
wdt:P646 "/m/01461"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>ℂ</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7554 "Arithmetic_function"
wdt:P8408 "ArithmeticFunction"
wdt:P910 Category:Arithmetic functions
wdt:P973 <https://www.open.edu/openlearn/mod/oucontent/view.php?id=87283&section=_unit2.1>
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