Explicit evaluation of quadratic Euler sums

Published 16 Sep 2016 in math.NT | (1609.04923v1)

Abstract: In this paper, we work out some explicit formulae for double nonlinear Euler sums involving harmonic numbers and alternating harmonic numbers. As applications of these formulae, we give new closed form representations of several quadratic Euler sums through Riemann zeta function and linear sums. The given representations are new.

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