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#1 2012-10-31 14:39:00

Johnathon bresly
Guest

Four square theorem

Hi,I learnt about the lagrange's four square theorem,now I am curious about it, how do I find then a,b,c,d for n such that,n=a^2+b^2+c^2+d^2?

#2 2012-10-31 14:57:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: Four square theorem

Hi;

As far as I know this is a computational problem. You can get the number of solutions but to determine what they are you will need a computer.

For instance the number of solutions to

with

is 3744


To give you an idea of the complexity of the problem please go here;

http://www.alpertron.com.ar/4SQUARES.HTM


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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