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

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).

12 pages

References in corpus (1)

• Zeroes of quaternionic modular forms and central $L$-values

Cited by in corpus (3)

• Zeroes of quaternionic modular forms and central $L$-values
• Distribution of toric periods of modular forms on definite quaternion algebras
• Rank bias for elliptic curves mod $p$