Formula:8059

Digital Library of Mathematical Functions ID 23.18.E6

${\displaystyle{\displaystyle\varepsilon(\mathcal{A})=\exp\left(\pi i\left(\frac{a+d}{12c}+s(-d,c)\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\mathcal{A}}}$:
• ${\displaystyle{\displaystyle a}}$: integer
• ${\displaystyle{\displaystyle c}}$: integer
• ${\displaystyle{\displaystyle d}}$: integer
• ${\displaystyle{\displaystyle\varepsilon(\mathcal{A})}}$: function
 

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