A Class of Logarithmic Integrals

The article is published in Proceedings of ISSAC'97, Maui, USA, 1997. 
  • Abstract
  • A class of definite integrals involving cyclotomic polynomials and nested logarithms is considered. The results are given in terms of derivatives of the Hurwitz Zeta function. Some special cases for which such derivatives can be expressed in closed form are also considered. The integration procedure is implemented in Mathematica Version 3.1.

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  • Please send corrections to Victor S. Adamchik
    Computer Science Department, 
    Carnegie Mellon University, Pittsburgh, PA.