C. Kuan

activity

20112025

most citedSecond Moments in the Generalized Gauss Circle Problem

21 citations · 53 across the 15 of their papers we have counts for

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2 papers · 1 filter

math.NT2023

Counting Divisors in the Outputs of a Binary Quadratic Form

Chan Ieong Kuan, David Lowry-Duda, Alexander Walker +1

For a fixed natural number $h$ , we prove meromorphic continuation of the two-variable Dirichlet series $\sum_{m} r_{2} (m) σ_{w} (m + h) (m + h)^{- s + w}$ to $C^{2}$ and use this to…

math.NT2023

Sums of Cusp Form Coefficients Along Quadratic Sequences

Chan Ieong Kuan, David Lowry-Duda, Alexander Walker +1

Let $f (z) = \sum A (n) n^{(k - 1) /2} e (n z)$ be a cusp form of weight $k \geq 3$ on $Γ_{0} (N)$ with character $χ$ . By studying a certain shifted convolution sum, we prove that $\sum_{n \…