K. C. Au

activity

20192026

most citedWilf-Zeilberger seeds and non-trivial hypergeometric identities

9 citations · 31 across the 13 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

Differential operators and a depth reduction for the alternating multiple zeta values $ζ (1, \dots, 1, 2 m)$

Kam Cheong Au, Steven Charlton, Michael E. Hoffman

We establish an identity amongst certain differential operators applied to a formal power-series. As a corollary we obtain an explicit depth reduction result for alternating MZV's…

math.CO2023★ 9 cited

Wilf-Zeilberger seeds and non-trivial hypergeometric identities

Kam Cheong Au

Through a systematic approach on generating Wilf-Zeilberger-pairs, we prove some hypergeometric identities conjectures due to Z.W. Sun, J. Guillera and Y. Zhao etc., including two…

math.NT2023★ 1 cited

Moments of ideal class counting functions

Kam Cheong Au

We consider the counting function of ideals in a given ideal class of a number field of degree $d$ . This describes, at least conjecturally, the Fourier coefficients of an automorph…

Differential operators and a depth reduction for the alternating multiple zeta values ζ(1,…,1,2m)

Wilf-Zeilberger seeds and non-trivial hypergeometric identities

Moments of ideal class counting functions

Differential operators and a depth reduction for the alternating multiple zeta values $ζ (1, \dots, 1, 2 m)$