multiplicative function

arithmetic function that is multiplicative for every pair of coprime integers
rdfs:label
"multiplicative function"@en
skos:altLabel
"weakly multiplicative function"@en
schema:description
"arithmetic function that is multiplicative for every pair of coprime integers"@en
schema:dateModified "2026-08-24T04:18:08+00:00"^^xsd:dateTime
schema:version 2535670226
wikibase:identifiers 9
wikibase:sitelinks 33
wikibase:statements 18
p:P10283 wd:statement/Q1048447-10F843A1-F4CF-4801-A9BB-1C96E0004F3C
p:P12987 wd:statement/Q1048447-1CBA98FF-081D-4F77-AC43-1D514FB400BF
p:P1552 wd:statement/Q1048447-f184162a-44cb-9c4b-c3dd-75e348dee03a
p:P1889 wd:statement/Q1048447-98553cac-451a-0f06-c7b7-6ae414de3b98
wd:statement/Q1048447-fe6215ea-4598-ad5c-ec1c-f349b25b23b7
p:P2534 wd:statement/Q1048447-5e7951d8-4328-b6fa-89df-0965dea406f0
p:P279 wd:statement/Q1048447-e296e4c5-4822-9251-1361-1464d2bdf764
p:P2812 wd:statement/Q1048447-68FA1C10-5B90-425E-A2ED-015EFBDDC725
p:P3285 wd:statement/Q1048447-5DFEC9CD-EDD4-4856-A56E-DA78D1021CD7
wd:statement/Q1048447-c18a9752-4638-4b82-3934-046ac60a80f4
p:P6104 wd:statement/Q1048447-93D2A865-0168-447C-9893-A1B18F5378BA
p:P6366 wd:statement/Q1048447-A57CEDA4-58EA-4BCA-9331-6305C0E83F9F
p:P646 wd:statement/Q1048447-2A9370FA-0F8A-466F-A28E-8CC3A5FE7111
p:P7235 wd:statement/Q1048447-85e66e13-47dc-3786-8d61-177333451258
wd:statement/Q1048447-a8a0a9f5-4fa1-b62c-de5e-51718863feb3
p:P7554 wd:statement/Q1048447-6256cea9-4acb-b37c-5f36-570f064e7b8e
p:P8408 wd:statement/Q1048447-263F2365-F139-4576-91BA-EF350125EB7A
p:P910 wd:statement/Q1048447-7FB2324E-B0A1-4A23-9A43-7A88981337B6
p:direct-normalized/P3285 <http://msc2010.org/resources/MSC/2010/11N37>
<http://msc2010.org/resources/MSC/2010/11Nxx>
p:direct-normalized/P6366 <https://makg.org/entity/42747912>
p:direct-normalized/P8408 <http://kbpedia.org/kko/rc/MultiplicativeFunction>
wdt:P10283 "C42747912"
wdt:P12987 "af.multiplicative"
wdt:P1552 multiplicativity
wdt:P1889 completely multiplicative function
strongly multiplicative function
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><mi>a</mi><mi>b</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>f</mi><mo stretchy="false">(</mo><mi>a</mi><mo stretchy="false">)</mo><mi>f</mi><mo stretchy="false">(</mo><mi>b</mi><mo stretchy="false">)</mo><mo>,</mo><mspace width="1em"></mspace><mo stretchy="false">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>1</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 arithmetic function
wdt:P2812 "MultiplicativeFunction"
wdt:P3285 "11N37"
"11Nxx"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "42747912"
wdt:P646 "/m/05165"
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"><mo stretchy="false">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7554 "Multiplicative_arithmetic_function"
wdt:P8408 "MultiplicativeFunction"
wdt:P910 Category:Multiplicative functions
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