| J. Igusa, On the transformation theory of elliptic functions, Amer. J. Math. 81 (1959)436-452. |
....Y : Z) stands for equivalence classes. Two triplets (X 1 : Y 1 : Z 1 ) and (X 2 : Y 2 : Z 2 ) represent the same point if and only if there exists t 2 K nf0g such that X 1 = tX 2 , Y 1 = t Y 2 and Z 1 = tZ 2 . We now give the group law on the elliptic curve given by Eq. 8) From [9] see also [5]) the sum of two points (X 1 : Y 1 : Z 1 ) and (X 2 : Y 2 : Z 2 ) is given by (X 3 : Y 3 : Z 3 ) where X 3 = X 1 Z 1 Y 2 Y 1 X 2 Z 2 ; Y 3 = Z 1 Z 2 ) X 1 X 2 ) Y 1 Y 2 2X 1 X 2 Z 1 Z 2 ] 2 X 1 X 2 Z 1 Z 2 (X 2 Z 2 ) Z 3 = Z 1 Z 2 ) X 1 X 2 ) 11) The ....
Jun-ichi Igusa. On the transformation theory of elliptic functions. Amer. J. Math., 81:436-452, 1959.
No context found.
J. Igusa, On the transformation theory of elliptic functions, Amer. J. Math. 81 (1959)436-452.
No context found.
Jun-ichi Igusa. On the transformation theory of elliptic functions. Amer. J. Math., 81:436--452, 1959.
No context found.
Jun-ichi Igusa. On the transformation theory of elliptic functions. Amer. J. Math., 81:436--452, 1959.
No context found.
J. Igusa, On the transformation theory of elliptic functions, Amer. J. Math. 81 (1959), 436--52.
No context found.
J. Igusa, On the transformation theory of elliptic functions, Amer. J. Math. 81 (1959), 436--52.
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