On triple zeta values of even weight and their connections with period polynomials

Abstract

We study triple zeta values of even weight and show various connections with period polynomials. As a result, an (expected) upper bound of the dimension of the vector space spanned by certain triple zeta values is obtained.

This paper has been withdrawn by the author due to a crucial error in the proof of Claim 3 (see p.38)

References in corpus (6)

• The parity theorem for multiple polylogarithms
• Motivic periods and the projective line minus three points
• Zeta elements in depth 3 and the fundamental Lie algebra of a punctured elliptic curve
• Period polynomial relations between formal double zeta values of odd weight
• The double shuffle relations for multiple Eisenstein series
• Inverse of a matrix related to double zeta values of odd weight