Xia Zhou

activity

20072025

most citedOn Mordell-Tornheim sums and multiple zeta values

23 citations · 49 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2025

On the $m$ th order $p$ -affine capacity

Xia Zhou, Deping Ye

Let $M_{n, m} (R)$ denote the space of $n \times m$ real matrices, and $K_{o}^{n, m}$ be the set of convex bodies in $M_{n, m} (R)$ containing the origin. We…

math.MG2025

The $m$ th order Orlicz projection bodies

Xia Zhou, Deping Ye, Zengle Zhang

Let $M_{n, m} (R)$ be the space of $n \times m$ real matrices. Define $K_{o}^{n, m}$ as the set of convex compact subsets in $M_{n, m} (R)$ with nonempty inter…

math.NT2012

Depth reduction of a class of Witten zeta functions

David M. Bradley, Tianxin Cai, Xia Zhou

We show that if a,b,c,d,f are positive integers such that a+b+c+d+f is even, then the Witten zeta value zeta_{sl(4)}(a,b,c,d,0,f) is expressible in terms of Witten zeta functions w…

math.NT2012★ 23 cited

On Mordell-Tornheim sums and multiple zeta values

David M. Bradley, Xia Zhou

We prove that any Mordell-Tornheim sum with positive integer arguments can be expressed as a rational linear combination of multiple zeta values of the same weight and depth. By a…

math.NT2009★ 5 cited

Witten multiple zeta values attached to sl(4)

Jianqiang Zhao, Xia Zhou

In this paper we shall prove that every Witten multiple zeta value of weight w>3 attached to sl(4) at nonnegative integer arguments is a finite rational linear combinations of MZVs…

math.NT2009★ 1 cited

Reducibility of Signed Cyclic Sums of Mordell-Tornheim Zeta and L-Values