抄録
We show that there is a relationship between modular forms and totally odd multiple zeta values by relating the matrix EN,r, whose entries are given by the polynomial representations of the Ihara action, with even period polynomials. We also consider the matrix CN,r defined by Brown and give a new upper bound of the rank of CN,4. This result gives support to the uneven part of the motivic Broadhurst-Kreimer conjecture of depth 4.
