Formula:8444

Digital Library of Mathematical Functions ID 25.15.E6

${\displaystyle{\displaystyle G(\chi)\equiv\sum_{r=1}^{k}\chi(r)e^{2\pi ir/k}.}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\equiv}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\chi(n)}}$: Dirichlet character
 

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