835 
\ 1 1 
$ Va bm wm : 8 am | 
T, = 2 fl) (— +O. le See a 
v= fs v = U 8 
vlg hym log Een ym log == 
v OE fo" 
1 1 
en | bm om am logv | 
= & f(r) dt O.- 
v=1 a ise 
vl hom log « vin (log av)?! 
1 1 ; 
bm am VE fv) am VX | F(v)| log v 
== DD Cpe Sy 48 | a 
log 2. (log x)? vt fee 
vl, ym v—I, pm 
and according to the preceding lemma this is equal to 
bm am | x f(v) HD 1 | aa am | 
h log «x |= jk log « | 7 (log w)*| 
vl, ym 
a an 
bm am wo f(v) | em 
if; 1g v =i psf | og ©) 
vel, ym 
By substituting the values found for 7, 7, 7, and 7), we find 
the relation 
aso ti Ee Pe 
pe v < U 
pm =, 
vl 
1 LS ni 
imam Ole 
Loge ea (log DE ; 
vl yn 
if the condition that the congruence 
gm =, 
has roots, is satisfied. 
Write down a series, composed of / integers prime to / and not 
containing two numbers, which are congruent to each other, with 
regard to the modulus &; give to /, successively each value of this 
series, satisfying the condition, that the congruence 
- has roots and determine for every value of /, a number /, by the 
congruence 
