On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m, n))$.
Shockley, James E.
Pacific J. Math., Tome 19 (1966) no. 3, p. 185-189 / Harvested from Project Euclid
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Publié le : 1966-05-14
Classification:  10.43 
@article{1102994420,
     author = {Shockley, James E.},
     title = {On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m, n))$.},
     journal = {Pacific J. Math.},
     volume = {19},
     number = {3},
     year = {1966},
     pages = { 185-189},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1102994420}
}

Shockley, James E. On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m, n))$.. Pacific J. Math., Tome 19 (1966) no. 3, pp.  185-189. http://gdmltest.u-ga.fr/item/1102994420/