On Witten’s type of zeta values attached to SO(5)

On Witten’s type of zeta values attached to SO(5)
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DOI:
10.1007/s00013-003-4809-7
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发表时间:
2004-02
影响因子:
0.6
通讯作者:
Hirofumi Tsumura
Hirofumi Tsumura
中科院分区:
数学4区
文献类型:
--
作者:
Hirofumi Tsumura

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本文考虑了SO(5)上的维滕型zeta值,定义为对非负整数sp,q,r,s.我们证明,这个值可以表示为一个合理的线性组合的产品的黎曼zeta值在正整数时,这是收敛和p +q+r+sis奇数。
In this paper, we consider Witten’s type of zeta value attached toSO(5) defined byfor nonnegative integersp, q, r, s. We prove that this value can be expressed as a rational linear combination of products of Riemann’s zeta values at positive integers when this is convergent andp+q+r+sis odd.