Completely q-multiplicative functions: the Mellin transform approach
نویسندگان
چکیده
منابع مشابه
Completely q - multiplicative functions : the Mellin transform approach
(1.1) f(aq + b) = f(aq) + f(b) or f(aq + b) = f(aq)f(b) for all r ≥ 0, a ≥ 0 and 0 ≤ b < q. Note that these equations force f(0) = 0 or f(0) = 1 respectively. These functions are called q-additive and q-multiplicative, respectively. It is easy to see that the functional equations imply that these functions are defined for all integers, when the values f(aq) are known for 1 ≤ a ≤ q − 1 and all r...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1993
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-65-1-85-96