Abstract
The connection between polylogarithmic functions and Euler sums is well-known. In this paper, we explore the representation and many connections between integrals of products of polylogarithmic functions with alternating signs in the argument and Euler sums. We shall consider mainly, polylogarithmic functions with negative and positive arguments, thereby producing new results and extending the work of Freitas. Many examples of integrals of products of polylogarithmic functions in terms of Riemann zeta values and Dirichlet values will be given.
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