Double Shuffle Relations of Euler Sums

Double Shuffle Relations of Euler Sums
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发表时间:
2007-05
期刊:
arXiv: Number Theory
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通讯作者:
Jianqiang Zhao
Jianqiang Zhao
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其他
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作者:
Jianqiang Zhao

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In this paper we shall develop a theory of (extended) double shuffle relations of Euler sums which generalizes that of multiple zeta values (see Ihara, Kaneko and Zagier, Derivation and double shuffle relations for multiple zeta values. Compos. Math. 142 (2)(2006), 307-338). After setting up the general framework we provide some numerical evidence for our two main conjectures. At the end we shall prove the following long standing conjecture: for every positive integer n