1229 
1 a 1 \s—1 A 
ORS (ere maar DE (tog, ) NN OSE 
gett log — 
QO 
En — Sel - om 
— 2 §{ s,— }cot— 
I 2q° jesil q 9 
Belketre. Sel 1,” )(Deotm,_18 
EE Er CTU Rei pT Si ier Deb y 
u 08 | chan sic (eo tet 
Te 1 li 1 4 
+ (ve) | Ben En (2 ‚Jo cot»), ‚tel 
ne Bin 
+ (teg, ) Jide 3) ges = sn Orcon ha tal + 
des 4 eye 
4 
log. | | tue, ae „Jes cot»), hg tal + 
In this formula ¢(p,@) stands for the function that, if pipe 1 
n=O 1 
and 0 < a <1, is represented by the series S ——— 
nzo (anp 
It may be noticed that in both equations the absolute value of 
the error committed by stopping at any particular stage in the series 
is always less than a finite multiple of that of the last written term. 
In particular we may deduce, supposing s > 1, 
1 
Lim dp, @) — — Eet = — 48), 
I= 1 
log— 
wv 
1 lil ] hy 
Lim ie BED) er = — 486) + on e(") cot 
pall gsi log je: Oil q 
Q 
(8 == Ar ®) 
q 
ori 
Hence, as z approaches along the radius a rational point 2 ont, iti is 
only the real part of the value of the function that increases inde- 
Del 
finitely and at all points e ke which correspond to the same deno- 
minator q the real parts are ultimately equal. 
The function p‚(z) behaves in quite similar manner because of 
the relation 
l 
ns (2) tr O (el 
