WIAS Preprint No. 493, (1999)

Some intriguing definite integrals



Authors

  • Zacharias, Klaus

2010 Mathematics Subject Classification

  • 11M99 33E99

Keywords

  • Riemann zeta function, polylogarithms

Abstract

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.

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