In this paper we develop new identities for Euler sums with rational argument. We shall investigate and report on new Euler identities of weight m+p+q+1, for m,p,q positive integers and m + p + q an even integer, but with a non-unitary argument of the harmonic numbers. Some examples of these Euler identities will be given in terms of Riemann zeta values, Dirichlet values and other special functions. We shall also give an explicit solution to an integral with a log polylog integrand.
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Anthony Sofo (2019) studied this question.
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