An on-average Maeda-type conjecture in the level aspect
Number Theory
2021-02-23 v1
Abstract
We present a conjecture on the average number of Galois orbits of newforms when fixing the weight and varying the level. This conjecture implies, for instance, that the central L-values (resp. L-derivatives) are nonzero for 100% of even weight prime level newforms with root number +1 (resp. -1).
Keywords
Cite
@article{arxiv.1912.06911,
title = {An on-average Maeda-type conjecture in the level aspect},
author = {Kimball Martin},
journal= {arXiv preprint arXiv:1912.06911},
year = {2021}
}
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12 pages