Dimensions of spaces of modular forms
Andrew R. Booker, Min Lee

TL;DR
This paper proves a conjecture about the distribution of dimensions of spaces of modular forms across various weights and levels, providing new insights into their value distribution.
Contribution
It establishes the conjecture of Ross and extends the results to general weights and different types of modular form spaces.
Findings
Confirmed Ross's conjecture on dimension distribution
Extended results to all even weights and various modular form spaces
Provided new understanding of the value distribution of modular form dimensions
Abstract
We prove a conjecture of Ross concerning the value distribution of for , as well as analogous results for general weight and the full and twist-minimal spaces , .
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry
