紀要論文 ON LINEAR RELATIONS AMONG TOTALLY ODD MULTIPLE ZETA VALUES RELATED TO PERIOD POLYNOMIALS

Tasaka, Koji

70 ( 1 )  , pp.1 - 28 , 2016-05-19 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NII書誌ID(NCID):AA10994346
内容記述
We show that there is a relationship between modular forms and totally odd multiple zeta values by relating the matrix E_<N,r> , whose entries are given by the polynomial representations of the Ihara action, with even period polynomials. We also consider the matrix C_<N,r> defined by Brown and give a new upper bound of the rank of C_<N,4>. This result gives support to the uneven part of the motivic Broadhurst–Kreimer conjecture of depth 4.

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