1 citations · 3 across the 13 of their papers we have counts for
14 papers
Mixed sums of infinite multiple zeta-star values with restricted indices
Jiangtao Li, Siyu Yang
We study arithmetic sums of infinite multiple zeta-star values subject to upper or lower bounds on their indices. Let be the image, under the zeta-star correspond…
The derived set of multiple star polylogarithms
Jiangtao Li
The derived set of multiple zeta-star values is the half-line . In this paper we study the corresponding two-dimensional problem for multiple star polylogarithms on th…
The normalized approximation function for multiple zeta-star values
Jiangtao Li
Motivated by the classical Lagrange spectrum and the reciprocal formulation of the Lagrange spectrum in continued-fraction theory, we introduce a normalized approximation function…
Divided differences and complex variations of multiple zeta-star values
Jiangtao Li
The derived set of multiple zeta-star values is the half-line . In this paper, we study the corresponding limiting set for finite multiple star harmonic sums. Using th…
Arithmetic sums and products of infinite multiple zeta-star values
Jiangtao Li, Siyu Yang
Multiple zeta-star values are variants of multiple zeta values which allow equality in the definition. Similar to the theory of continued fractions, every real number which is grea…
A continuous version of multiple zeta functions and multiple zeta values
Jiangtao Li
In this paper we define a continuous version of multiple zeta functions. They can be analytically continued to meromorphic functions on with only simple poles at som…
Remark on a symmetric zeta function
Jiangtao Li
In this paper we define a symmetric zeta function. We show that it can be analytically continued to a meromorphic function on with only simple poles at some special…
Unit cyclotomic multiple zeta values for and
Jiangtao Li
Denote by a primitive root of -unity. In this paper, we show that the unit cyclotomic multiple zeta values for generate all the cyclotomic multiple zeta values fo…
Iterated integrals, multiple zeta values and Selberg integrals
Jiangtao Li
Classical multiple zeta values can be viewed as iterated integrals of the differentials from to . In this paper, we reprove Brown's theorem: F…
Iterated integrals on products of one variable multiple polylogarithms
Jiangtao Li
In this paper we show that the iterated integrals on products of one variable multiple polylogarithms from 0 to 1 are actually multiple zeta values if they are convergent. In the d…
Motivic multiple zeta values reletive to μ_2
Zhongyu Jin, Jiangtao Li
We establish a short exact sequence about depth-graded motivic double zeta values of even weight relative to . We find a basis for the depth-graded motivic double zeta values…
Depth-graded motivic Lie algebra
Jiangtao Li
Consider the neutral Tannakian category mixed Tate motives over Z, in this paper we suggest a way to understand the structure of depth-graded motivic Lie subalgebra generated by th…
The depth structure of motivic multiple zeta values
Jiangtao Li
In this paper, we construct some maps related to the motivic Galois action on depth-graded motivic multiple zeta values. And from these maps we give some short exact sequences abou…
Motivic double zeta values of odd weight
Jiangtao Li, Fei Liu
For odd , we establish a short exact sequence about motivic double zeta values with odd, . From this we classify all the relat…