number-theoretic function

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number-theoretic function

[¦nəm·bər ‚thē·ə¦red·ik ′fəŋk·shən]
(mathematics)
A function whose domain is the set of positive integers.
References in periodicals archive ?
(iii) If an arithmetic function f satisfies f(1) [not equal to] 0, then f possesses a unique inverse under k-ary convolution.
Let [a.sub.1](n) be an arithmetic function defined by (4), then we have
Given two arithmetic functions f and g, the Dirichlet (convolution) product f * g is again an arithmetic function which is defined by
The first pattern, serial thinking, is the logical, arithmetic function that is closely akin to the way computers operate.
It does not perform an arithmetic function on the value (1), and it does not skip blanks FALSE) or transpose (FALSE).
From the invoice file, the date arithmetic function allows an aging of accounts receivable, and the extract function creates a file containing records that will be traced to original invoices.
[2] Laszlo Toth, On certain arithmetic function involving exponential divisors, II.
Subbarao, On some arithmetic convolutions in The theory of arithmetic function, lecture notes in mathematics, springer, 251(1972), 247-271.
Let [G.sub.0](s) = [zeta](s)G(s),[f.sub.0](n) be the arithmetic function defined by
Let f(n) be any arithmetic function satisfying condition (ii), i.e., f(n) [less than or equal to] n for any n [greater than or equal to] 1.
Let f(n) be any arithmetic function satisfying condition (ii), i.e., f(n) less than or equal to] n for any n [greater than or equal to] 1.
Let f(n,u) be an arithmetic function defined by (12), then we have