9 citations · 31 across the 13 of their papers we have counts for
4 papers · 1 filter
On single-variable Witten zeta functions of rank two and three
Kam Cheong Au
By introducing a novel integration kernel for the Mellin transform, we uncover many previously unknown and intriguing properties of the Witten zeta functions of rank two and three.…
Vanishing of Witten zeta function at negative integers
Kam Cheong Au
We introduce a new analytic method for studying Witten zeta function of a root system , based on a refined manipulation of an integral representation involving the Hurwitz zeta…
Creative telescoping and generating functions of (variants of) multiple zeta values
Kam Cheong Au, Steven Charlton
We show how to convert the generating series of interpolated multiple zeta values, or multiple values, with repeating blocks of length 1 into hypergeometric series. Then we inv…
-analogues of Wilf-Zeilberger seeds and Ramanujan -formulas
Kam Cheong Au
We develop the notion of Wilf-Zeilberger seeds as a powerful framework for generating WZ-pairs and for lifting classical hypergeometric identities to the -setting. As an applica…