Re: --Integer solutions for N=a^2+b^2=x^2+y^2+z^2
- From: Robert Israel <israel@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Sun, 13 Apr 2008 13:42:55 -0500
"Philippe 92" <nospam@xxxxxxxxxxxx> writes:
Gerry wrote :
The sum of two squares N=a^2+b^2
has a solution in three squares N=x^2+y^2+z^2
for every factor q of the sum a+b
for which q-2 is a square.
What is the meaning of such a sentence ???
It seems to me the meaning is pretty clear:
if N, a, b and q are integers such that N = a^2+b^2 and q is a factor of a+b
and q-2 is the square of an integer,
then there exist integers x,y,z such that N=x^2+y^2+z^2
--
Robert Israel israel@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
.
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