20180909, 23:23  #1 
Mar 2016
11·23 Posts 
multiplication defined by elliptic curves ?
A peaceful night for all persons,
I tried to understand the theory of elliptic curves for using factorization. Is it possible to define a multiplication of points / vectors ? Greetings from the silence Bernhard 
20180909, 23:38  #2  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}·131 Posts 
Quote:
https://en.m.wikipedia.org/wiki/Dot_product https://en.m.wikipedia.org/wiki/Matrix_multiplication 

20180910, 01:03  #3 
Aug 2006
2·3·977 Posts 
You mean a multiplication of two points, rather than the usual scalar multiplication? Not that I know of, but surely someone's done this before.

20180910, 07:31  #4 
Dec 2012
The Netherlands
3·7·67 Posts 
Most good introductory books on Algebraic Number Theory get as far as the group law on elliptic curves  is that what you mean?
A more specific book at undergraduate level is "Rational points on elliptic curves" by Silverman and Tate, published by Springer. 
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