Zur Theorie der zerlegbaren Formen, insbesondere der kubischen. 169 



a + bi]v + cifv = (mod r") ; a -+- & 'i'v, +c'fvi = (mod r|') ; 



a — €i]v' ~0 a — C7j pI — 



(mod r"'); ^ (mod rj'i); 



h — c»; V' = ?; — c /j Vi' ^ 



etc. 



Diese Kongruenzen lassen sich zusammenziehen. Man be- 

 stimme 



^ = |„ (modjj^); ^' = |;, (modi;^'); r'=i;;, (modp^"); 



(1) (I) (1),, 



= ^*^, (modp^'O; =^;;,i' (modjj^'i); ^W' (modj^f'.'); 



etc. etc. etc. 



rj^tjv (modr''); if ^r^l, (mod r*"'); 



= rj V, (mod r,"') ; = %i (mod r J'I ) ; 



etc. etc., 



so hat man die Kongruenzen 



a-^h^-i~c^^ = (modj;^j;fi ....); a = 0, 



a-hh'i' -\-c^'^ = (mod j)^' jjf i' . . .); h = (mod q'-q^^ . . .) 



a-i-hf -i-cf^ = (modjjf" pf^^" . .); c = 0, 



a + &7; + c?;2 = (mod r" r^^ . . .) 



a — c?;^ = 



(mod r"' r;'i' . . .) 

 h—ci; =0 



Die Norm der Zahl J(co) ist 



