Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1237-1258
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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/
@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},
year = {2001},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a15/}
}
TY - JOUR
AU - T. G. Hessami Pilehrood
TI - On arithmetical properties of the values of polylogarithmic functions
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 1237
EP - 1258
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a15/
LA - ru
ID - FPM_2001_7_4_a15
ER -
%0 Journal Article
%A T. G. Hessami Pilehrood
%T On arithmetical properties of the values of polylogarithmic functions
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 1237-1258
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a15/
%G ru
%F FPM_2001_7_4_a15
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.