M. Lee

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math.NT2025

Dimensions of spaces of modular forms

Andrew R. Booker, Min Lee

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

math.NT2025

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.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…