Zhenlu Wang

activity

20212026

collaborators

9 papers

math.NT2026

Refined sum formulas for finite multiple zeta values of level two

Zhenlu Wang

In this paper, we establish two classes of refined sum formulas for finite multiple zeta values of level two, a variant of finite multiple zeta values recently introduced by M. Kan…

math.NT2026

A proof of a weighted sum conjecture for finite multiple zeta values of level two

Zhonghua Li, Zhenlu Wang, Lihui Zhang

M. Kaneko, T. Murakami and A. Yoshihara introduced finite multiple zeta values of level two and conjectured a weighted sum formula for indices whose components belong to ${1, 2}$ .…

math.NT2026

Weighted sum formulas for finite multiple mixed values

Zhonghua Li, Zhenlu Wang

In this paper, we employ the iterated integral expression of multiple polylogarithms to establish a weighted sum formula for finite multiple mixed values. As applications, we deriv…

math.NT2025

Interpolated multiple $t$ -values of general level with fixed weight, depth and height

Zhonghua Li, Zhenlu Wang

In this paper, we introduce the interpolated multiple $t$ -values of general level and represent a generating function for sums of interpolated multiple $t$ -values of general level…

math.NT2024

Some evaluations of interpolated multiple zeta values and interpolated multiple $t$ -values

Zhonghua Li, Zhenlu Wang

In this paper, we study the evaluation formulas of the interpolated multiple zeta values and the interpolated multiple $t$ -values with indices involving $1, 2, 3$ . To get these evalu…

math.NT2022

Relations of multiple $t$ -values of general level

Zhonghua Li, Zhenlu Wang

We study the relations of multiple $t$ -values of general level. The generating function of sums of multiple $t$ -(star) values of level $N$ with fixed weight, depth and height is re…

math.NT2022

Integrality and some evaluations of odd multiple harmonic sums

Zhonghua Li, Zhenlu Wang

In 2015, S. Hong and C. Wang proved that none of the elementary symmetric functions of $1, 1/3, \dots, 1/ (2 n - 1)$ is an integer when $n \geq 2$ . In 2017, Kh. Pilehrood, T. Pilehrood an…

math.NT2021

A note on the sum of finite multiple harmonic $q$ -series on $r - (r + 1)$ indices

Zhonghua Li, Zhenlu Wang

We study the sum of the finite multiple harmonic $q$ -series on $r - (r + 1)$ indices at roots of unity with $r = 1, 2, 3$ . And we give the equivalent conditions of two conjectures r…

math.NT2021

Weighted sum formula of multiple $L$ -values and its applications

Zhonghua Li, Zhenlu Wang

In this paper, we study the multiple $L$ -values and the multiple zeta values of level $N$ . We set up the algebraic framework for the double shuffle relations of the multiple zeta v…

Refined sum formulas for finite multiple zeta values of level two

A proof of a weighted sum conjecture for finite multiple zeta values of level two

Weighted sum formulas for finite multiple mixed values

Interpolated multiple t-values of general level with fixed weight, depth and height

Some evaluations of interpolated multiple zeta values and interpolated multiple t-values

Relations of multiple t-values of general level

Integrality and some evaluations of odd multiple harmonic sums

A note on the sum of finite multiple harmonic q-series on r-(r+1) indices

Weighted sum formula of multiple L-values and its applications

Interpolated multiple $t$ -values of general level with fixed weight, depth and height

Some evaluations of interpolated multiple zeta values and interpolated multiple $t$ -values

Relations of multiple $t$ -values of general level

A note on the sum of finite multiple harmonic $q$ -series on $r - (r + 1)$ indices

Weighted sum formula of multiple $L$ -values and its applications