Abstract
Necessary and sufficient conditions are given for linear combinations of q-ary additive functions to belong to some function classes when the summation is extended to the set of primes.
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Supported by the Applied Number Theory Research Group of the Hungarian Academy of Science and by a grant from OTKA T46993.
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Kátai, I. On the linear combination of q-additive functions at prime places. Acta Math Hung 117, 361–372 (2007). https://doi.org/10.1007/s10474-007-6125-3
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DOI: https://doi.org/10.1007/s10474-007-6125-3