A CLASS OF ARITHMETICAL FUNCTIONS
نویسندگان
چکیده
منابع مشابه
A Class of Arithmetical Functions of Several Variables
Johnson [1] evaluated the sum d[n [C(d;r)[, where C(n;r) denotes Ramanujan’s trigonometric sum. This evaluation has been generalized to a wide class of arithmetical functions of two variables. In this paper, we generalize this evaluation to a wide class of arithmetical functions f several variables and deduce as special cases the previous evaluations.
متن کاملArithmetical Functions I: Multiplicative Functions
Truth be told, this definition is a bit embarrassing. It would mean that taking any function from calculus whose domain contains [1,+∞) and restricting it to positive integer values, we get an arithmetical function. For instance, e −3x cos2 x+(17 log(x+1)) is an arithmetical function according to this definition, although it is, at best, dubious whether this function holds any significance in n...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1955
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.41.11.939