Multiple zeta values and ideles

被引：0
作者：
I. Horozov
机构：
[1] Bronx Community College – City University of New York,Department of Mathematics and Computer Science
来源：
The Ramanujan Journal | 2019年 / 49卷
关键词：
Multiple zeta values; Adeles; Iterated integrals; Shuffle product; 11M32; 11R56;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we give two idelic representations of the multiple zeta values—one using iterated integrals over the finite ideles and the other using iterated integrals over the idele class group. The two representations lead to stuffle and shuffle relations, respectively. Using iterated integrals over the ideles, we recover in a unified way the double shuffle relations for multiple zeta values.
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页码：215 / 230
页数：15
相关论文
共 3 条
  • [1] Horozov I(2017)Multiple dedekind zeta functions J. Reine Angew. Math. 722 65-104
  • [2] Horozov I(2017)Double shuffle relations for multiple dedekind zeta values, double shuffle relations for multiple dedekind zeta values Acta Arith. 180 201-227
  • [3] Racinet G(2002)Doubles mélanges des polylogarithmes multiples aux racines de l’unité Publ. Math. Inst. Hautes Études Sci. 95 185-231
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