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Taylor coefficients of t-motivic multiple zeta values and explicit formulae

Chieh-Yu Chang National Tsing Hua University Nathan Green University of California at San Diego Yoshinori Mishiba University of the Ryukyus

Number Theory mathscidoc:1904.24003

For each positive characteristic multiple zeta value defined by Thakur, the first and third authors 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.
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[ Download ] [ 2019-04-30 21:23:11 uploaded by cychang ] [ 782 downloads ] [ 0 comments ] 
@inproceedings{chieh-yutaylor,
  title={TAYLOR COEFFICIENTS OF t-MOTIVIC MULTIPLE ZETA VALUES AND EXPLICIT FORMULAE},
  author={Chieh-Yu Chang, Nathan Green, and Yoshinori Mishiba},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190430212312151472308},
}
Chieh-Yu Chang, Nathan Green, and Yoshinori Mishiba. TAYLOR COEFFICIENTS OF t-MOTIVIC MULTIPLE ZETA VALUES AND EXPLICIT FORMULAE. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190430212312151472308.
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