Kam Cheong Au

activity

20232025

collaborators

3 papers

math.NT2025

Linear relations between $L$ -values of newforms and moments of elliptic $K$ integral

Kam Cheong Au

By systematically translating certain integrals involving moments of the elliptic integral into $L$ -values of modular forms on $Γ_{1} (4), Γ (4)$ and $Γ_{1} (8)$ , and then utilizing relat…

math.NT2024

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 $t$ values, with repeating blocks of length 1 into hypergeometric series. Then we inv…

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…

Linear relations between L-values of newforms and moments of elliptic K integral

Creative telescoping and generating functions of (variants of) multiple zeta values

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

Linear relations between $L$ -values of newforms and moments of elliptic $K$ integral

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