(21357) 
VII.—On LEisenstein’s Continued Fractions.—By Tuomas Murr, M.A 
Received February 27. Read March 19, 1877. 
In Cretie’s Journal for 1844, at the end of a paper on Cubic Forms 
EISENSTEIN gives the following results :— 



3 pe . . 
1+ Ft+itiet--- + get in inf Ee a er (I.) 
1 x 
ai — R2\p 
i-5_(-R | | 
R= dR 
Re— es iz (1— Rx 
Re — &e. in inf. 
Meeps tpt 2... pea (IL.) 
l—a” 
= x 
i pat —p”—)x 
Pie, SC 
2_U—p)« 
Soy 2 epee 
pe ZK. 
p? _@ =i 
are 
P 
where m is any odd number and p a primitive root of the equation 2”=1 
2K 2 3 
Be l= 1 
= i ae j es (EEE) 
eos Pp = 1-7 
4_+—p 
Ge, 
p>—in inf. 
Ja 
=1+ isp nee fates phe yee CEY..) 
i 6) ie 1+) = +p)? pr —p*)? 
es ep — &e 
where 
Raf tam ¥=/ att 
0 /(1—k? sin? ) 
K’ 
B+ik?=1 and D=e 7K, 
* CRELLE xxvii. pp. 78, 79. 
VOL. XXVIII. PART I. 

