M. Lee

activity

20232025

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4 papers · 1 filter

math.NT2025

Dimensions of spaces of modular forms

Andrew R. Booker, Min Lee

We prove a conjecture of Ross concerning the value distribution of $dim S_{2}^{new} (Γ_{0} (N))$ for $N \in N$ , as well as analogous results for general weight $k\in2\mathbb{…

math.NT2024

Murmurations of Maass forms

Andrew R. Booker, Min Lee, David Lowry-Duda +2

We prove the existence of murmurations in the family of Maass forms of weight 0 and level 1 with their Laplace eigenvalue parameter going to infinity (i.e., correlations between th…

math.NT2024

On the functional equation of twisted Ruelle zeta function and Fried's conjecture

Jay Jorgenson, Min Lee, Lejla Smajlovic

Let $M$ be a finite volume hyperbolic Riemann surface with arbitrary signature, and let $χ$ be an arbitrary $m$ -dimensional multiplier system of weight $k$ . Let $R (s, χ)$ be the ass…

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…