JournalsdmVol. 26pp. 537–559

On lower bounds of the dimensions of multizeta values in positive characteristic

  • Yen-Tsung Chen

    Department of Mathematics, National Tsing Hua University, Hsinchu City 30042, Taiwan R.O.C.

  • Ryotaro Harada

    National Center for Theoretical Sciences, No.101, Kuang Fu Road, Sec. 2, Hsinchu City 30043, Taiwan R.O.C.
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Abstract

In this paper, we study the linear independence of special values, including the positive characteristic analogue of multizeta values, alternating multizeta values and multiple polylogarithms, at algebraic points. Consequently, we establish linearly independent sets of these values with the same weight indices and a lower bound on the dimension of the space generated by depth multizeta values of the same weight in positive characteristic.

Cite this article

Yen-Tsung Chen, Ryotaro Harada, On lower bounds of the dimensions of multizeta values in positive characteristic. Doc. Math. 26 (2021), pp. 537–559

DOI 10.4171/DM/821