Expanding Seems Implausible

Algebra Level 5

Let \(\omega_n=e^{i\pi/n}\). The value of \[\left|\prod_{j=1}^{2014}\left(\prod_{i=1}^j\left(\omega_j^{2i-1}-1\right)\right)\right|\] can be expressed as \(a^b\) where \(a,b\) are positive integers and \(a\) is as small as possible. What is \(a+b\)?

×

Problem Loading...

Note Loading...

Set Loading...