WIAS Preprint No. 493, (1999)

Some intriguing definite integrals


  • Zacharias, Klaus

2010 Mathematics Subject Classification

  • 11M99 33E99


  • Riemann zeta function, polylogarithms


We calculate some definite integrals which (up to now) computer algebra systems like Maple or Mathematica are unable to evaluate. The first one is a simply looking integral involving cos and log, the others are some integrals containing polylogarithmic functions. It is shown that they can be evaluated by rational combinations of ς-functions and products of ς-functions at positive integers.

Download Documents