something about a sum
Hi, can anyone explain this?
\[S=\sum_{v=\infty}^{\infty}\int_0^Ne^{2\pi ivx+2\pi i\frac{x^2}{N}} \mathrm{d}x\]
\[=N\sum_{v=\infty}^{\infty}\int_0^1e^{2\pi iN(x^2+vx)} \mathrm{d}x\]
What I'm hoping for is some intermediate steps which get from the first, step by step to the second that make sense.
Please help.
Last fiddled with by wildrabbitt on 20200317 at 12:53
