multiplicative 06B10,11A99 1 11A25 1 11L07 1 11N25 1 11N60 1 \(q\)-additive 1 \(q\)-multiplicative functions 1 additive 1 co-maximal 1 continuous homomorphism 1 convolution 1 cover 1 distribution of additive functions 1 lattice 1 prime filter 1 regular convolution 1 semilattice 1 sets of uniqueness 1 sets of uniqueness mod \(1\) 1