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Algebraic relations for multiple zeta values

W. V. Zudilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The survey is devoted to the multidimensional generalization of the Riemann zeta function as a function of a positive integral argument.

UDC: 511.3+512.573

MSC: Primary 11M06; Secondary 11G55, 16W25

Received: 30.10.2001

DOI: 10.4213/rm592

 English version: Russian Mathematical Surveys, 2003, 58:1, 1–29

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