Zlobin, S. A. Integrals that can be represented as linear forms of generalized polylogarithms. (English. Russian original) Zbl 1049.11077 Math. Notes 71, No. 5, 711-716 (2002); translation from Mat. Zametki 71, No. 5, 782-787 (2002). The author introduces two kinds of integrals \(V(z)\) and \(S(z)\), where \(V(z)\) generalizes Beukers-Vasilenko’s integrals, which have a close connection with multiple zeta values, and \(S(z)\) is a generalization of Sorokin’s integrals. Then he establishes the connection between \(V(z)\) and \(S(z)\), and further expresses \(S(z)\) as a linear form of generalized polylogarithms. Reviewer: Masanori Morishita (Kanazawa) Cited in 1 ReviewCited in 8 Documents MSC: 11J72 Irrationality; linear independence over a field 11G55 Polylogarithms and relations with \(K\)-theory 11M06 \(\zeta (s)\) and \(L(s, \chi)\) 33B30 Higher logarithm functions PDF BibTeX XML Cite \textit{S. A. Zlobin}, Math. Notes 71, No. 5, 711--716 (2002; Zbl 1049.11077); translation from Mat. Zametki 71, No. 5, 782--787 (2002) Full Text: DOI