#### Vol. 272, No. 1, 2014

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Nonlinear Euler sums

### István Mező

Vol. 272 (2014), No. 1, 201–226
##### Abstract

We work out some formulas for nonlinear Euler sums involving multiple zeta values. As applications of these formulas, we give new closed form sums of several nonlinear Euler series, we present sums for powers of the digamma function and deduce the Landen identities for the polylogarithms by finite combinatorial identities.

##### Keywords
Euler sums, nonlinear Euler sums, polygamma functions, polylogarithm functions, Landen's identities, multiple zeta values
##### Mathematical Subject Classification 2010
Primary: 33B15, 11M32