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arXiv · 2512.12546

Dimensions of spaces of modular forms

Andrew R. Booker·Min Lee
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Abstract

We prove a conjecture of Ross concerning the value distribution of $\dim S_2^{\rm new}(\Gamma_0(N))$ for $N\in\mathbb{N}$, as well as analogous results for general weight $k\in2\mathbb{N}$ and the full and twist-minimal spaces $S_k(\Gamma_0(N))$, $S_k^{\rm min}(\Gamma_0(N))$.

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Andrew R. Booker, Min Lee. 2025-12-14. Dimensions of spaces of modular forms. https://arxiv.org/abs/2512.12546

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