ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS V

ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS V
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DOI:
10.1017/s0017089514000160
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发表时间:
2013-02
影响因子:
0.5
通讯作者:
Y. Komori;Kohji Matsumoto;Hirofumi Tsumura
Y. Komori;Kohji Matsumoto;Hirofumi Tsumura
中科院分区:
数学4区
文献类型:
--
作者:
Y. Komori;Kohji Matsumoto;Hirofumi Tsumura

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本文研究了G2型根系的ζ函数在正整数点处的值。在我们以前的工作中,我们考虑的情况下,所有的整数是偶数,但在本文中,我们证明了几个定理,其中包括的情况下,一些整数是奇数。还讨论了为什么我们可以处理包括奇数在内的这种情况的根本原因。
Abstract We study the values of the zeta-function of the root system of type G2 at positive integer points. In our previous work we considered the case when all integers are even, but in the present paper we prove several theorems which include the situation when some of the integers are odd. The underlying reason why we may treat such cases, including odd integers, is also discussed.