Revision as of 23:11, 21 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div> {{Alert-warning|This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion. }}Prove the following formula, with <math>w=e^{2\pi i/N}</math>, <math display="block"> \frac{1}{N}\sum_kw^{jk}=\delta_{0j} </math> where all the indices, and the Kronecker symbol too, are taken modulo <math>N</math>.")
BBot
Apr 22'25
Exercise
[math]
\newcommand{\mathds}{\mathbb}[/math]
This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.
Prove the following formula, with [math]w=e^{2\pi i/N}[/math],
[[math]]
\frac{1}{N}\sum_kw^{jk}=\delta_{0j}
[[/math]]
where all the indices, and the Kronecker symbol too, are taken modulo [math]N[/math].