Explicit Evaluations for Several Variants of Euler Sums

Abstract

We study several variants of Euler sums by using the methods of contour integration and residue theorem. These variants exhibit nice properties such as closed forms, reduction, etc., like classical Euler sums. In addition, we also define a variant of multiple zeta values of level 2, and give some identities on relations between these variants of Euler sums and the variant of multiple zeta values.

arXiv admin note: text overlap with arXiv:2002.12107

References in corpus (4)

• On a variant of multiple zeta values of level two
• On logarithmic integrals, harmonic sums and variations
• Extensions of Euler Type Sums and Ramanujan Type Sums
• Two Variants of Euler Sums

Cited by in corpus (1)

• Dirichlet type extensions of Euler sums