Complex Multiplication
المؤلف:
Krantz, S. G
المصدر:
Handbook of Complex Variables. Boston, MA: Birkhäuser
الجزء والصفحة:
p. 1
18-10-2018
830
Complex Multiplication
Two complex numbers 
and 
are multiplied as follows:
In component form,
 |
(4)
|
(Krantz 1999, p. 1). The special case of a complex number multiplied by a scalar 
is then given by
 |
(5)
|
Surprisingly, complex multiplication can be carried out using only three real multiplications, 
, 
, and 
as
Complex multiplication has a special meaning for elliptic curves.
REFERENCES:
Cox, D. A. Primes of the Form x2+ny2: Fermat, Class Field Theory and Complex Multiplication. New York: Wiley, 1997.
Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 1, 1999.
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