Formula:8430

Digital Library of Mathematical Functions ID 25.13.E1

${\displaystyle{\displaystyle F\left(x,s\right)\equiv\sum_{n=1}^{\infty}\frac{e^{2\pi inx}}{n^{s}},}}$

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
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle s}}$: complex variable
 

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