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

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 LL-values (resp. LL-derivatives) are nonzero for 100100% of even weight prime level newforms with root number +1+1 (resp. −...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2021-04, Vol.149 (4), p.1373-1386
1. Verfasser: Martin, Kimball
Format: Artikel
Sprache:eng
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Zusammenfassung: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 LL-values (resp. LL-derivatives) are nonzero for 100100% of even weight prime level newforms with root number +1+1 (resp. −1-1).
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/15328