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arXiv · 1912.06911

An on-average Maeda-type conjecture in the level aspect

Kimball Martin
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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).

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Kimball Martin. 2019-12-14. An on-average Maeda-type conjecture in the level aspect. https://doi.org/10.1090/proc/15328

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