Geodesic
Combinatorial identities involving the Möbius function
Journal of integer sequences, Tome 13 (2010) no. 8
We derive some identities and inequalities concerning the Möbius function. Our main tool is phi functions for intervals of positive integers and their unions.
Classification : 11A25, 11B05, 11B75
Keywords: combinatorial identities, M$\ddot $obius function, relatively prime sets, phi functions, M$\ddot $obius inversion formula 
@article{JIS_2010__13_8_a6,
     author = {El Bachraoui,  Mohamed and Salim,  Mohamed},
     title = {Combinatorial identities involving the {M\"obius} function},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {8},
     zbl = {1252.11003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a6/}
}
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El Bachraoui,  Mohamed; Salim,  Mohamed. Combinatorial identities involving the Möbius function. Journal of integer sequences, Tome 13 (2010) no. 8. http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a6/