( 176 ) 
A >= 2) 
mati (m, p) = T, (my n) 
Vig —l g 
(@) = = 
For @=1 the congruence is proved by the definition of the 
sign. If it holds good for a definite a, we have the relation 
pp”) 
m * =1-+kp* 
from which follows by elevation to power A (p) 
ONCE 
P 
N (p)§N (p)—1} //m \NO)-2, 
MOVPE 
or, N(p) having the form 4s-+ 1 and all terms appearing after 
the first term on the right side having at least the factor p**, 
vet OAN, 
we = (2% (mod. p*t" ). 
Mes 
N(pi-l Y(n) 
ar Sai Te 
n (m, p*) = = o, (m‚p)= = vr, (m, p) (mod. 4). 
a dk - 
Been We put in (1) Ws and f(x) = 0, (m,n) for Zan 
and in all other cases f(#) = 0 then 
=” f(a) = n(m,n), 
p= in 
and 
= f (dx) 
=f 
