David Lowry-Duda

activity

20142026

most citedSecond Moments in the Generalized Gauss Circle Problem

21 citations · 125 across the 34 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.NT2023★ 1 cited

Towards a classification of isolated $j$ -invariants

Abbey Bourdon, Sachi Hashimoto, Timo Keller +5

We develop an algorithm to test whether a non-CM elliptic curve $E / Q$ gives rise to an isolated point of any degree on any modular curve of the form $X_{1} (N)$ . This builds…

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

Murmurations of modular forms in the weight aspect

Jonathan Bober, Andrew R. Booker, Min Lee +1

We prove the existence of "murmurations" in the family of holomorphic modular forms of level $1$ and weight $k \to \infty$ , that is, correlations between their root numbers and Hecke…

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 \…

Towards a classification of isolated j-invariants

Counting Divisors in the Outputs of a Binary Quadratic Form

Murmurations of modular forms in the weight aspect

Sums of Cusp Form Coefficients Along Quadratic Sequences

Towards a classification of isolated $j$ -invariants