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Dirichlet convolution
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==References== {{Reflist}} * {{Apostol IANT}} * {{cite book | author=Chan, Heng Huat | title=Analytic Number Theory for Undergraduates | series=Monographs in Number Theory| year=2009 | isbn=978-981-4271-36-3 | publisher=World Scientific Publishing Company }} * {{cite book | author=Hugh L. Montgomery | authorlink=Hugh Montgomery (mathematician) |author2=Robert C. Vaughan |authorlink2=Robert Charles Vaughan (mathematician) | title=Multiplicative number theory I. Classical theory | series=Cambridge tracts in advanced mathematics | volume=97 | year=2007 | isbn=978-0-521-84903-6 | page=38 | publisher=Cambridge Univ. Press | location=Cambridge }} * {{Cite news |first1=Eckford |last1=Cohen |title=A class of residue systems (mod r) and related arithmetical functions. I. A generalization of Möbius inversion |journal=Pacific J. Math. |volume=9 |number=1 |pages=13–23 |year=1959 |mr=0109806 }} * {{Cite journal |first1=Eckford |last1=Cohen |title=Arithmetical functions associated with the unitary divisors of an integer |journal=[[Mathematische Zeitschrift]] |volume=74 |year=1960 |pages=66–80 |mr=0112861 |doi=10.1007/BF01180473 }} * {{Cite news |first1=Eckford |last1=Cohen |title=The number of unitary divisors of an integer |volume=67 |number=9 |pages=879–880 |mr=0122790 |year=1960 |journal=[[American Mathematical Monthly]] }} * {{Cite journal |first1=Graeme L. |last1=Cohen |title=On an integers' infinitary divisors |volume=54 |number=189 |pages=395–411 |mr=0993927 |doi=10.1090/S0025-5718-1990-0993927-5 |journal=Math. Comp. |year=1990 |doi-access=free }} * {{Cite journal |first1=Graeme L. |last1=Cohen |title=Arithmetic functions associated with infinitary divisors of an integer |volume=16 |number=2 |pages=373–383 |doi=10.1155/S0161171293000456 |journal=Int. J. Math. Math. Sci. |year=1993 |doi-access=free }} * {{Cite journal |first1=Pentti |last1=Haukkanen |title=Expressions for the Dirichlet inverse of arithmetical functions |url=https://nntdm.net/volume-06-2000/number-4/118-124/ |volume=6 |number=4 |pages=118-124 |journal=Notes on Number Theory and Discrete Mathematics |year=2000 }} * {{cite journal |first1=Jozsef |last1=Sandor |first2=Antal |last2=Berge |title=The Möbius function: generalizations and extensions |journal=Adv. Stud. Contemp. Math. (Kyungshang) |volume=6 |number=2 |pages=77–128 |year=2003 |mr=1962765 }} * {{cite web |first1 = Steven |last1 = Finch |title = Unitarism and Infinitarism |url = http://www.people.fas.harvard.edu/~sfinch/csolve/try.pdf |year = 2004 |url-status = dead |archiveurl = https://web.archive.org/web/20150222094526/http://www.people.fas.harvard.edu/~sfinch/csolve/try.pdf |archivedate = 2015-02-22 }}
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