Multiplicative function: Difference between revisions

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and therefore ''r''<sub>2</sub>(1) = 4 ≠ 1. This shows that the function is not multiplicative. However, ''r''<sub>2</sub>(''n'')/4 is multiplicative.
 
In the [[On-Line Encyclopedia of Integer Sequences]], sequences of values of a multiplicative function have the keyword "mult".<ref>{{cite web | url=http://oeis.org/search?q=keyword:mult | title=Keyword:mult - OEIS }}</ref>
 
See [[arithmetic function]] for some other examples of non-multiplicative functions.
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|title=Some characterizations of specially multiplicative functions
|journal=Int. J. Math. Math. Sci.
|volume=372003
|pages=2335-23442335–2344
|year=2003
|issue=37
|doi=10.1155/S0161171203301139
|url=https://www.emis.de/journals/HOA/IJMMS/Volume2003_37/515979.abs.html
}}
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|volume=8
|issue=3
|pages=316-317316–317
|year=1972 }}|doi=10.1007/BF01844515
}}
 
*{{cite journal
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|journal=Duke Math. J.
|volume=33
|pages=49-5349–53
|year=1966 }}
 
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|journal=International Journal of Number Theory
|volume=9
|pages=1301-13111301–1311
|year=2013 }}|issue=5
|doi=10.1142/S1793042113500280
|arxiv=1301.3331
}}
*{{cite journal
|author=R. Vaidyanathaswamy
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|volume=33
|issue=2
|pages=579-662579–662
|year=1931
|doi=10.1090/S0002-9947-1931-1501607-1