Formula:8805

Digital Library of Mathematical Functions ID 27.14.E13

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Dedekindeta@{\tau}=e^{\cpi\iunit\tau/12}\EulerPhi@{e^{2\cpi\iunit\tau}}.}

Constraint(s)

${\displaystyle{\displaystyle\Im\tau>0}}$

Symbols List

• ${\displaystyle{\displaystyle\eta\left(\NVar{\tau}\right)}}$: Dedekind’s eta function (or Dedekind modular function)
• ${\displaystyle{\displaystyle\mathit{f}\left(\NVar{x}\right)}}$: Euler’s reciprocal function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\Im}}$: imaginary part
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
 

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