Weiping Wang

collaborators

2 papers

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…

Alternating Euler T-sums and Euler S~-sums

Two Variants of Euler Sums

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