Geodesic
On lower bounds of the dimensions of multizeta values in positive characteristic
Documenta mathematica, Tome 26 (2021), pp. 537-559

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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 r>2 multizeta values of the same weight in positive characteristic.
DOI : 10.4171/dm/821
Classification : 11J72, 11J93, 11M38
Mots-clés : multizeta values, t-module, t-motive 
Yen-Tsung Chen; Ryotaro Harada. On lower bounds of the dimensions of multizeta values in positive characteristic. Documenta mathematica, Tome 26 (2021), pp. 537-559. doi: 10.4171/dm/821
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     author = {Yen-Tsung Chen and Ryotaro Harada},
     title = {On lower bounds of the dimensions of multizeta values in positive characteristic},
     journal = {Documenta mathematica},
     pages = {537--559},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/821},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/821/}
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