( 601 ) 
= log (1 ej ) 
7 8 
the terms should be arranged according to the ascending moduli of 
the «’s. Using this expansion of log¢(z-+s) in the integral Gs (c) 
and adhering strictly to the reasoning adopted by RrrMANN for the 
integral Gp (c), we obtain 
— = Ii (crs). 
Ees (té EET one 
note tent f 
It is desirable to give a somewhat different form to the series of 
integrallogarithms arising here. Let us assume the zeros w to be of 
the form } +7/7, then, by pairing off conjugate complexes, we have 
E Li (t-) = = = [zi (artes) ales rn) = 
4—s 
ct 2 dz ot dz 
— = [cos (2 wf Er PLR vem fe areca = 
ts Js 
=. i (7 log c) ay cos (/? log of ee 
2 B 
B 
VEE en 
cra“ dr xr 
EER ) lo + 57 nen EEE = 
Bat Verf di (8 EN Mera Zar) 
2 ehs sin (Î loge) (; l ) cos (/3 log c) 1 
= EEEN nn sE pope 
loge | = 2p NA md loge/ @ p? 9 B =| : 
g denoting a quantity the absolute value of which is less than 
Getto |. 
loge ~ (log ec)? 
Dealing similarly with the integral 
