# Pairwise non-integral numbers

I have a set of complex numbers a_1 through a_n which are said to be "pairwise non-integral numbers". Could someone explain to me exactly what this means? Thanks.

From comment below: I should also say the exact wording is "Pairwise different non-integral numbers".

-
Pairwise coprime is obvious but I don't know what it means for one complex quantity to be "integral" relative to another. What source is this said in? – anon Mar 14 '12 at 18:43
You really ought to give some sense of context when looking for a definition. Initially I'd guess it means that $a_i/a_j$ is not an integer when $i\neq j$. – Thomas Andrews Mar 14 '12 at 18:47
It's in Freitag's Complex Analysis, p. 187. It's in a chapter on applications of the residue theorem, and I'm looking at an analytic function f which is defined on C\{a_1,...,a_n}, where C stands for the complex plane. Shoot, I should also say the exact wording is "Pairwise different non-integral numbers". This is a not great english translation from german so it's possible something was lost in translation. – cuckmaster5000 Mar 14 '12 at 18:55
That just means they are pairwise different and all non-integers, if that is the wording. – Thomas Andrews Mar 14 '12 at 19:12
Odd, Google Books has Freitag's "Complex Analysis 2" but not "Complex Analysis." – Thomas Andrews Mar 14 '12 at 19:18