Slopes of modular forms and the Ghost conjecture
Number Theory
2025-08-06 v1
Abstract
We give an algorithm to compute the slope sequence of modular forms with fixed Galois components from its first few entries, which is a refined version of the conjecture of [Buz05]. We use the results of arXiv:2302.07697 on the ghost conjecture from axXiv:1710.01572. These symmetries in slope sequences have potential implication to unexplained symmetries in many Coleman-Mazur eigencurves.
Cite
@article{arxiv.2508.02761,
title = {Slopes of modular forms and the Ghost conjecture},
author = {Eunsu Hur},
journal= {arXiv preprint arXiv:2508.02761},
year = {2025}
}
Comments
22 pages