An Arithmetic Function of Two Variables

  • P. A. Gustomesov
The arithmetic function of two variables, N s (a, n), is defined. For all positive integers n and non-negative integers a N s (a, n) = ϕ (n) µ n (a,n) ϕ n (a,n) , where ϕ is the Euler function, µ is the Möbius function and (a, n) is the greatest common divisor of integers a and n. Some properties of the function are given along with the formula that is an… (More)