Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr Combinatorial aspects of multiple zeta values. (English) Zbl 0904.05012 Electron. J. Comb. 5, Research paper R38, 12 p. (1998); printed version J. Comb. 5, 569-580 (1998). Multiple zeta values are nested generalizations of the classical Riemann zeta function evaluated at integer values. In this paper a longstanding conjecture of Don Zagier, together with some generalizations, is proved. Finally computational evidence supporting an infinite family of conjectured generalizations of Zagier’s identity is presented. Reviewer: Johann Cigler (Wien) Cited in 1 ReviewCited in 41 Documents MSC: 11M32 Multiple Dirichlet series and zeta functions and multizeta values 11M41 Other Dirichlet series and zeta functions 05A19 Combinatorial identities, bijective combinatorics 11Y60 Evaluation of number-theoretic constants Keywords:Euler sums; Zagier sums; factorial identities; shuffle algebra; Riemann zeta function; Zagier’s identity × Cite Format Result Cite Review PDF Full Text: arXiv EMIS