Weiping Wang

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20182021

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math.NT2021

On variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjecture

Weiping Wang, Ce Xu

By using various expansions of the parametric digamma function and the method of residue computations, we study three variants of the linear Euler sums, related Hoffman's double $t…

math.NT2020

Alternating Euler $T$ -sums and Euler $S ~$ -sums

Weiping Wang, Ce Xu

In this paper, we study the alternating Euler $T$ -sums and related sums by using the method of contour integration. We establish the explicit formulas for all linear and quadratic…

math.NT2019

Two Variants of Euler Sums

Ce Xu, Weiping Wang

For positive integers $p_{1}, p_{2}, \dots, p_{k}, q$ with $q > 1$ , we define the Euler $T$ -sum $T_{p_{1} p_{2} \dots p_{k}, q}$ as the sum of those terms of the usual infinite series for the classic…

math.NT2018

Explicit formulas of Euler sums via multiple zeta values

Ce Xu, Weiping Wang

Flajolet and Salvy pointed out that every Euler sum is a $Q$ -linear combination of multiple zeta values. However, in the literature, there is no formula completely reveali…

On variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjecture

Alternating Euler T-sums and Euler S~-sums

Two Variants of Euler Sums

Explicit formulas of Euler sums via multiple zeta values

Alternating Euler $T$ -sums and Euler $S ~$ -sums