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On multiple $L$ -values

2004
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Journal of the Mathematical Society of Japan
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We formulate and prove reguralized double shu¿e and derivation relations for multiple L-values. A description of principal part of a multiple L-function is also given. Introduction. In the present paper, we study the regularized double shu¿e and the derivation relations of the multiple L-values and give some applications. A fair amount of work related to the multiple L-values has already been done, e.g., A. Goncharov [G1], [G2], G. Racinet [R] and the references therein. In particular, the

doi:10.2969/jmsj/1190905444
fatcat:ivijmu52kvc3hesuxmxb3nkm54