Big Omega with a plus/minus subscript

• April 28th 2011, 07:55 AM
Quick
Big Omega with a plus/minus subscript
I'm not quite sure which section asymptotics goes in, but I doubt it is calculus.

I've come across a statement from an article written in the 80s that says $\frac{\sigma(n)}{n\log\log n}=e^\gamma(1+\Omega_\pm ((\log n)^{-b})$ where $b$ is defined constant and $\sigma$ is the sum factors of $n$.

I can't seem to find anything which explains what $\Omega_\pm$ means...
• April 28th 2011, 08:38 AM
tonio
Quote:

Originally Posted by Quick
I'm not quite sure which section asymptotics goes in, but I doubt it is calculus.

I've come across a statement from an article written in the 80s that says $\frac{\sigma(n)}{n\log\log n}=e^\gamma(1+\Omega_\pm ((\log n)^{-b})$ where $b$ is defined constant and $\sigma$ is the sum factors of $n$.

I can't seem to find anything which explains what $\Omega_\pm$ means...

If that's true then that article deserves the purifying heat of the fire and its author(s) deserve to be kindly

and graciously invited to swim and have supper with 4 hungry sharks and 2 starving crocodiles in a deep pool of cyanide.

For anyone trying to be the worst maths-paper writer, I bring you the following excellent article of prof. J.S. Milne for authors:

Tips for Authors --- J.S. Milne

Tonio