Geodesic
On functional equations of Dirichlet functions
Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 421-432

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The paper adduces a theorem of a general form on functional equations of the Dirichlet functions, as well as certain of its corollaries. 
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     author = {A. F. Lavrik},
     title = {On functional equations of {Dirichlet} functions},
     journal = {Izvestiya. Mathematics },
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     number = {2},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a12/}
}
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A. F. Lavrik. On functional equations of Dirichlet functions. Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 421-432. http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a12/