论文标题
在$ \ infty $ - adic和$ v $ - 亚当的多个Zeta功能积极特征的功能
On $\infty$-adic and $v$-adic multiple zeta functions in positive characteristic
论文作者
论文摘要
本文在$ p $ addic多$ l $ functions上追求了Furusho，Komori，Matsumoto和Tsumura结果的积极特征类似物。我们考虑$ \ infty $ - adic和$ v $ - 亚事多Zeta功能，由Anglès，NGO DAC和Tavares Ribeiro涉及。本文中我们的主要结果包括：（1）特殊值的$ \ infty $ addic多个Zeta函数的整体表达式，（2）$ v $ -Adic多重Zeta函数本身的积分表达本身类似于$ p $ p $ p $ p $ l $ l $ l $ functions，（3）kummer-type youthus youthus youthus youthus youthus youthus youthus youthus youthus youthuts $ v $ v $--- $ \ infty $ - adic和$ v $ -ADIC多重Zeta功能在负整数和（5）多个Zeta函数和多个Zeta Star函数的正交属性。
This paper pursues positive characteristic analogues of the results of Furusho, Komori, Matsumoto and Tsumura on $p$-adic multiple $L$-functions. We consider $\infty$-adic and $v$-adic multiple zeta functions concerned by Anglès, Ngo Dac and Tavares Ribeiro. Our main results in this paper consist of: (1) integral expressions of special values of $\infty$-adic multiple zeta functions, (2) integral expression of $v$-adic multiple zeta functions themselves similar to those of $p$-adic multiple $L$-functions, (3) Kummer-type congruence for the special values of $v$-adic multiple zeta functions at integers (4) relationships between special values of $\infty$-adic and those of $v$-adic multipe zeta functions at negative integers and (5) orthognal properties of multiple zeta functions and multiple zeta star functions.
