Geodesic
On arithmetical properties of the~values of polylogarithmic functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1237-1258

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This paper gives a proof of the linear independence over $\matjbb Q$ of $p$-vectors, whose coordinates are the values of polylogarithmic functions at rational points, and $p$-unit vectors under certain condition. 
@article{FPM_2001_7_4_a15,
     author = {T. G. Hessami Pilehrood},
     title = {On arithmetical properties of the~values of polylogarithmic functions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1237--1258},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a15/}
}
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T. G. Hessami Pilehrood. On arithmetical properties of the~values of polylogarithmic functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1237-1258. http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a15/