Cotangent and the Herglotz trick

  • Aigner M
  • Ziegler G
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Abstract

What is the most interesting formula involving elementary functions? In his beautiful article [2], whose exposition we closely follow, Jürgen Elstrodt nominates as a first candidate the partial fraction expansion of the cotangent function:

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Aigner, M., & Ziegler, G. M. (2018). Cotangent and the Herglotz trick. In Proofs from THE BOOK (pp. 183–188). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-57265-8_26

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