K. C. Au

activity

20192025

most citedLinear relations between logarithmic integrals of high weight and some closed-form evaluations

3 citations · 3 across the 2 of their papers we have counts for

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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

On single-variable Witten zeta functions of rank two and three

Kam Cheong Au

By introducing a novel integration kernel for Mellin transform, we uncover many previously unknown and intriguing properties of the Witten zeta functions of rank two and three. Det…

math.NT2019★ 3 cited

Linear relations between logarithmic integrals of high weight and some closed-form evaluations

K. C. Au

The focus of our investigation will be integrals of form $\int_{0}^{1} lo g^{a} (1 - x) lo g^{b} x lo g^{c} (1 + x) / f (x) d x$ , where $f$ can be either $x, 1 - x$ or $1 + x$ . We show that these integral…

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

On single-variable Witten zeta functions of rank two and three

Linear relations between logarithmic integrals of high weight and some closed-form evaluations

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