On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m,\,n))$.
Apostol, Tom M. ; Zuckerman, Herbert S.
Pacific J. Math., Tome 14 (1964) no. 4, p. 377-384 / Harvested from Project Euclid
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Publié le : 1964-05-14
Classification:  39.30 
@article{1103034171,
     author = {Apostol, Tom M. and Zuckerman, Herbert S.},
     title = {On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m,\,n))$.},
     journal = {Pacific J. Math.},
     volume = {14},
     number = {4},
     year = {1964},
     pages = { 377-384},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1103034171}
}

Apostol, Tom M.; Zuckerman, Herbert S. On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m,\,n))$.. Pacific J. Math., Tome 14 (1964) no. 4, pp.  377-384. http://gdmltest.u-ga.fr/item/1103034171/