Taylor coefficients of t-motivic multiple zeta values and explicit formulae
Chang, Chieh-Yu ; Green, Nathan ; Mishiba, Yoshinori
arXiv, Tome 2019 (2019) no. 0, / Harvested from
For each positive characteristic multiple zeta value (defined by Thakur in 2004), the first and third authors recently constructed a t-module such that a certain coordinate of a logarithmic vector of a specified algebraic point is a rational multiple of that multiple zeta value. The main result in this paper gives explicit formulae for all of the coordinates of this logarithmic vector in terms of Taylor coefficients of t-motivic multiple zeta values and t-motivic Carlitz multiple star polylogarithms.
Publié le : 2019-02-18
Classification:  Mathematics - Number Theory,  11M32, 11G09 
@article{1902.06879,
     author = {Chang, Chieh-Yu and Green, Nathan and Mishiba, Yoshinori},
     title = {Taylor coefficients of t-motivic multiple zeta values and explicit
  formulae},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1902.06879}
}

Chang, Chieh-Yu; Green, Nathan; Mishiba, Yoshinori. Taylor coefficients of t-motivic multiple zeta values and explicit
  formulae. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1902.06879/