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 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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). |
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ISSN: | 0002-9939 1088-6826 |
DOI: | 10.1090/proc/15328 |