Zhonghua Li

activity

20102022

most citedOn harmonic sums and alternating Euler sums

5 citations · 9 across the 11 of their papers we have counts for

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13 papers · 1 filter

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

Ohno-Zagier type relation for multiple $t$ -values

Zhonghua Li, Yutong Song

We study the Ohno-Zagier type relation for multiple $t$ -values and multiple $t$ -star values. We represent the generating function of sums of multiple $t$ -(star) values with fixed w…

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

The reciprocals of tails of the alternating Riemann zeta function

Zhonghua Li, Lu Yan

In this paper, we give the integer parts of reciprocals of tails of the alternating Riemann zeta function at $s = 1, 2, 3, 4$ by using several new inequalities and elementary method.

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…

Relations of multiple t-values of general level

Ohno-Zagier type relation for multiple t-values

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

The reciprocals of tails of the alternating Riemann zeta function

Weighted sum formula of multiple L-values and its applications

Relations of multiple $t$ -values of general level

Ohno-Zagier type relation for multiple $t$ -values

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