(AAD) 
der Wissenschaften in Wien, 50, Vol.). As is known for these the 
relation exists 
1 
aft (dy 4 
d lo 
according to the norm being equal to or larger than 1, with the 
help of which one can easily prove the formulae corresponding 
with each other 
= f(d) =F (n), 
= u (d) Al) =f (1): 
To obtain the above mentioned sum we must remove from the sum 
= Vi (x) 
wi 
all values of the function whose argument have a common divisor 
with n. If d, is a divisor of n in the region {m} with a norm 
surpassing unity, the sum of the values to be ejected belonging 
to d, 18 
If we were to subtract this sum for every divisor d from the 
first named one, we should have ejected more than once all values 
of the function, in which d, possesses a quadratic factor and those 
too in which dj is a product of several (4) prime factors; in the 
latter case this ejection would take place 
Oren 
times instead of once, as the respective value appears in each sum 
corresponding to one of the & prime factors of dj, to one of the 
k : 
@ products of any two prime factors of dj, and so on. So on one 
hand we have only to take for d, those divisors of » built up of 
prime numbers all differing mutually, and on the other hand on 
