9 Jun
2011
9 Jun
'11
4:32 p.m.
="Eugene Salamin" <gene_salamin@yahoo.com>
"The first quadrant" is well-defined, except possibly concerning what part of the boundary is included. It is what we learned in analytic geometry.
Of course I have no quibble with the usual definition of "first quadrant". My confusion with THIS thread has come from mixing that with the definition of "positive", which I've understood, for Gaussian integers, means a region roughly symmetrical about the positive x-axis. Please see Figure 8.7(a) in Conway & Guy's "The Book of Numbers" (it's on p218 in my 1996 copy)
Perhaps a better definition for a sum of divisors function would be to use the norm of the divisor rather than the divisor itself.
Interesting idea.