44 -A.rt. 4. — M. Kuniyeda : 



By the analysis of §§ 33—35 of " 0. 1>- I. ,V.'', we see that 



/•!r=9+£. coaydy K 



where s e^ s e^ s $. 



Hence we have 



If we put r=/-"'"iMz^cos,.,, 

 then as hi " 0. 1>. I. 2/\ we obtain 



and hence l^'l- /,v//jn ' 



A' £ r(d) 



and, if x< p < xa', 



e r'((^) < rid). 



If x'<p<x, we have r<l and we easih^^ see tliat xr* <7\ whence 

 it also follows that 



£ r\d) < r{0). 

 Therefore, in hotli of the cases (i) and (ii). we have 



1.' < '^"-^^ 



Introducing (44) and this result into (4.')). we o1>tain 



