This article is cited in 10 papers

On linear independence of values of generalized polylogarithms

V. N. Sorokin

M. V. Lomonosov Moscow State University

Abstract: The linear independence of the values at certain rational points of generalized polylogarithms, which generate the algebra of all analytic functions with three logarithmic branch points, is established. Hermite–Padé approximations for an Angelesco–Nikishin system defined by a complete binary tree are used.

UDC: 517.53+511.3

MSC: Primary 11J72; Secondary 41A21, 11G55

Received: 29.01.2001

DOI: 10.4213/sm590

 English version: Sbornik: Mathematics, 2001, 192:8, 1225–1239

Bibliographic databases:

• 
• 
• 
•