FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 1237-1258

On arithmetical properties of the values of polylogarithmic functions

T. G. Hessami Pilehrood

Abstract

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This paper gives a proof of the linear independence over $$Q of $p$-vectors, whose coordinates are the values of polylogarithmic functions at rational points, and $p$-unit vectors under certain condition.

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Last modified: April 17, 2002