Zeroes of quaternionic modular forms and central \(L\)-values

DOI10.1016/j.jnt.2020.05.008zbMath1469.11138arXiv2001.03242OpenAlexW3000082508MaRDI QIDQ2197529

Kimball Martin, Jordan Wiebe

Publication date: 1 September 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03242

zbMATH Keywords

modular formsquaternion algebras\(L\)-values

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms, one variable (11F12)

Related Items (3)

Rank bias for elliptic curves \(\bmod\,p\) ⋮ Exact double averages of twisted \(L\)-values ⋮ An on-average Maeda-type conjecture in the level aspect

Uses Software

• Magma
• SageMath

Cites Work

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• Local ε-Factors and Characters of GL(2)
• Congruences for Modular Forms mod 2 and QuaternionicS-ideal Classes
• The basis problem revisited
• Explicit Methods for Hilbert Modular Forms
• Exponents of the class groups of complex quadratic fields
• An on-average Maeda-type conjecture in the level aspect
• Low lying zeros of families of \(L\)-functions

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