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A deformation of multiple L-values
被引：0
|作者：
Masaki Kato
Yoshihiro Takeyama
机构：
[1] Kobe University,Department of Mathematics, Graduate School of Science
[2] University of Tsukuba,Department of Mathematics, Faculty of Pure and Applied Sciences
来源：
The Ramanujan Journal
|
2022年
/
57卷
关键词：
Multiple ;
-values;
Deformed multiple ;
-values;
Harmonic product;
Shuffle product;
Double shuffle relations;
11M32;
33E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In a previous paper, the first named author introduced a two-parameter deformation of multiple zeta values. Its generating function is given by a multiple integral whose integrand is a product of Kronecker’s double series. In this paper, we use a scaling limit of Kronecker’s double series to construct a one-parameter deformation of multiple L-values (dMLVs). We prove double shuffle relations among them and construct an entire function interpolating the dMLVs.
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页码：93 / 118
页数：25
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