Bianchi modular generalization of Stevens' non-vanishing conjecture
Bianchi modular generalization of Stevens' non-vanishing conjecture
Let be the number field in the Bianchi modular setting, let ) be a prime satisfying the residual non-vanishing hypotheses, and let be the set of finite order Hecke characters over whose conductor is for some prime element in the sets associated with pairs . Let denote the normalized integral -value attached to the Bianchi Hecke eigenform . Generalized Stevens conjecture. Assume . Then there exist infinitely many Hecke characters such that
This conjecture proposes the Bianchi modular analogue of Stevens' result; the source gives no resolution.
Sources & referencesView supporting material
Primary source
Jaesung Kwon, “Bianchi modular symbols and p-adic L-functions”, arXiv:2108.05592 (2024).
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